In their first and perhaps only debate, former President Donald Trump and Vice President Kamala Harris described the state of the country in distinctly different ways. As the two traded jabs, some old false and misleading claims emerged along with some new ones.

Here's a look.

Trump inflates numbers around new military equipment left in Afghanistan

TRUMP, on the U.S. withdrawal from Afghanistan: "We wouldn't have left $85 billion worth of brand new, beautiful military equipment behind."

THE FACTS: That number is significantly inflated, according to reports from the Special Inspector General for Afghanistan Reconstruction, or SIGAR, which oversees American taxpayer money spent on the conflict.

The $85 billion figure resembles a number from a July 30 quarterly report from SIGAR, which outlined that the U.S. has invested about $83 billion to build, train and equip Afghan security forces since 2001. That funding included troop pay, training, operations and infrastructure along with equipment and transportation over two decades, according to SIGAR reports and Dan Grazier, a defense policy analyst at the Project on Government Oversight.

Only about $18 billion of that sum went toward equipping Afghan forces between 2002 and 2018, a June 2019 SIGAR report showed.

No one knows the exact value of the U.S.-supplied Afghan equipment the Taliban have secured, defense officials have confirmed it is significant.

Trump overstates his economic record

TRUMP: "I created one of the greatest economies in the history of our country. ... They've destroyed the economy."

THE FACTS: This is an exaggeration. The economy grew much faster under Presidents Bill Clinton and Ronald Reagan than it did under Trump. The broadest measure of economic growth, gross domestic product, rose 4% a year for four straight years under Clinton. The fastest growth under Trump was 3% in 2018. The economy shrank 2.2% in 2020, at the end of Trump's presidency. And a higher proportion of American adults had jobs under Clinton than under Trump. During the Biden-Harris administration, the economy expanded 5.8% in 2021, though much of that reflected a bounce-back from COVID.

Trump's record on manufacturing jobs examined

HARRIS: "We have created over 800,000 manufacturing jobs. … Donald Trump said he was going to create manufacturing jobs. He lost manufacturing jobs."

THE FACTS: Those statements are missing context.

There were 12,188,000 manufacturing employees in the U.S. when Biden took office in January 2021, according to the Bureau of Labor Statistics. Preliminary numbers for August 2024 put that number at 12,927,000. That's a difference of 739,000 — close to the 800,000 number Harris has cited.

Also of note is the impact of the COVID-19 pandemic. The number of manufacturing employees dropped steeply in April 2020, by more than 1.3 million. Discounting that decline, there were only 206,000 more manufacturing employees in August than there were in March 2020, prior to the pandemic.

Inflation has gone down

TRUMP: "They had the highest inflation perhaps in the history of our country, because I've never seen a worse period of time."

THE FACTS: While praising the strength of the economy under his presidency, Donald Trump misstated the inflation rate under Biden. Inflation peaked at 9.1% in June 2022 after rising steadily in the first 17 months of Biden's presidency from a low of 0.1% in May 2020. It's now seeing a downward trend. The most recent data shows that as of July it had fallen to 2.9%. Other historical periods have seen higher inflation, which hit more than 14% in 1980, according to the Federal Reserve.

Trump has distanced himself from Project 2025

HARRIS: "What you're going to hear tonight is a detailed and dangerous plan called Project 2025 that the former president intends on implementing if he were elected again."

THE FACTS: Trump has said he doesn't know about Project 2025, a controversial blueprint for another Republican presidential administration.

The plan was written up by many of his former aides and allies, but Trump has never said he'll implement the roughly 900-page guide if he's elected again. He has said it's not related to his campaign.

Trump on abortions 'after birth'

TRUMP: "Her vice presidential pick says abortion in the ninth month is absolutely fine. He also says execution after birth, it's execution, no longer abortion, because the baby is born, is okay."

THE FACTS: Walz has said no such thing. Infanticide is criminalized in every state, and no state has passed a law that allows killing a baby after birth.

Abortion rights advocates say terms like "late-term abortions" attempt to stigmatize abortions later in pregnancy. Abortions later in pregnancy are exceedingly rare. In 2020, less than 1% of abortions in the United States were performed at or after 21 weeks, according to the Centers for Disease Control and Prevention.

Trump's taxing and spending plan examined

HARRIS: "What the Wharton School has said is Donald Trump's plan would actually explode the deficit."

THE TRUTH: The Penn-Wharton Budget Model did find that Trump's tax and spending plans would significantly expand the deficit by $5.8 trillion over ten years. But it also found that Harris' plans would increase the deficit by $1.2 trillion over the same period.

Harris' record on fracking examined

TRUMP: "If she won the election, fracking in Pennsylvania will end on Day 1."

THE FACTS: Trump's statement ignores the fact that without a law approved by Congress, a president can only ban fracking on federal lands.

The federal government owns about 2% of Pennsylvania's total land, and it is not clear how much of that is suitable for oil or gas drilling.

Republicans have criticized Harris for "flip-flopping" on the issue, noting that Harris said in the 2020 campaign that she opposed fracking, a drilling technique that is widely used in Pennsylvania and other states.

Harris has since said repeatedly that she won't ban fracking if elected, and she reiterated that in Tuesday's debate.

Trump shares inflated numbers around migrants and crime

TRUMP: "When you look at these millions and millions of people that are pouring into our country monthly — whereas, I believe, 21 million people, not the 15 people say, and I think it's a lot higher than the 21 — that's bigger than New York State ... and just look at what they're doing to our country. They're criminals, many of these people are criminals, and that's bad for our economy too."

FACTS: Trump's figures are wildly inflated. The Border Patrol made 56,408 arrests of people crossing the border illegally from Mexico in July, the latest monthly figure available. Since Biden took office, the Border Patrol made about 7.1 million border arrests, though the number of people is considerably lower because many of those arrests were repeat crossers.

The Biden administration also permitted legal entry for about 765,000 people on an online app called CBP One at land crossings in Mexico through July. It allowed another 520,000 from Cuba, Haiti, Nicaragua and Venezuela to come by air with financial sponsors. Additionally, an unknown number of people crossed the border illegally and eluded capture.

That doesn't come close to "millions and millions of people" monthly. .... It is also unproven that "many of these people are criminals."

There have been high-profile, heinous crimes committed by immigrants. But FBI statistics do not separate out crimes by the immigration status of the assailant, nor is there any evidence of a spike in crime perpetrated by migrants. In 1931, the Wickersham Commission did not find any evidence supporting a connection between immigration and increased crime, and many studies since then have reached similar conclusions.

Trump repeats false claims that noncitizens are being sought to vote

TRUMP: "A lot of these illegal immigrants coming in, they're trying to get them to vote. They can't even speak English. They don't even know what country they're in practically and these people are trying to get them to vote, and that's why they're allowing them to come into our country."

THE FACTS: In recent months, Trump and other Republicans have been repeating the baseless claim that Democrats want migrants to come into the country illegally so they will vote.

There's no evidence for this, nor is there any evidence that noncitizens illegally vote in significant numbers in this country.

Voting by people who are not U.S. citizens already is illegal in federal elections. It can be punishable by fines, prison time and even deportation. While noncitizens have cast ballots, studies show it's incredibly rare, and states regularly audit their voter lists to remove ineligible voters from the rolls.

Trump's comments suggest that not speaking English is somehow prohibitive for voting in the U.S. — and that's also not the case. In fact, the Voting Rights Act requires certain states to provide election materials in other languages depending on the voting-age population's needs.

Trump misrepresents crime statistics

TRUMP, criticizing the Biden administration: "Crime is through the roof."

THE FACTS: In fact, FBI data has shown a downward trend in violent crime since a coronavirus pandemic spike. Violent crime surged during the pandemic, with homicides increasing nearly 30% between in 2020 over the previous year — the largest one-year jump since the FBI began keeping records

Violent crime was down 6% in the last three months of 2023 compared with the same period the year before, according to FBI data released in March. Murders were down 13%. New FBI statistics released in June show the overall violent crime rate declined 15% in the first three months of 2024 compared to the same period last year. One expert has cautioned, however, that those 2024 figures are preliminary and may overstate the actual reduction in crime.

Trump endorses false rumor about immigrants eating pets

TRUMP: "In Springfield, they're eating the dogs, the people that came in, they're eating the cats… They're eating the pets of the people that live there."

THE FACTS: There's no evidence to support the claim, which Trump and his campaign have used to argue immigrants are committing crimes at a higher rate than others.

Authorities in Ohio have said there are no credible or detailed reports to support Trump's claim.

Jobs created under the Biden administration

"TRUMP: "Just like their number of 818,000 jobs that they said they created turned out to be a fraud."

THE FACTS: This is a mischaracterization of the government's process of counting jobs. Every year the Labor Department issues a revision of the number of jobs added in a 12-month period from April through March in the previous year. The adjustment is made because the government's initial job counts are based on surveys of businesses. The revision is then based on actual job counts from unemployment insurance files that are compiled later. The revision is compiled by career government employees with little involvement by politically appointed officials.

National Guard soldiers on Jan. 6

TRUMP, speaking about the Jan. 6 insurrection: "I said I'd like to give you 10,000 National Guard or soldiers. They rejected me. Nancy Pelosi rejected me."

THE FACTS: That's false. Pelosi does not direct the National Guard.

Further, as the Capitol came under attack, she and then-Senate Majority leader Mitch McConnell called for military assistance, including from the National Guard.

The Capitol Police Board makes the decision on whether to call National Guard troops to the Capitol. It is made up of the House Sergeant at Arms, the Senate Sergeant at Arms and the Architect of the Capitol.

The board decided not to call the guard ahead of the insurrection but did eventually request assistance after the rioting had already begun, and the troops arrived several hours later.

There is no evidence that either Pelosi or McConnell directed the security officials not to call the guard beforehand.

Trump falsely claims China is building 'massive' auto plants in Mexico

TRUMP: "They're building big auto plants in Mexico, in many cases owned by China."

THE FACTS: It's not the first time Trump has claimed the Biden administration is allowing Chinese automakers to build factories just across the border in Mexico.

At present, though, industry experts say they know of no such plants under construction, and there's only one small Chinese auto assembly factory operating in Mexico. It's run by a company called JAC that builds inexpensive vehicles from kits for sale in that country.

Trump falsely claims evidence shows he won in 2020

TRUMP: "There's so much proof. All you have to do is look at it."

THE FACTS: The election was not stolen. The authorities who have reviewed the election — including Trump's own attorney general — have concluded the election was fair.

Biden's victory over Trump in 2020 was not particularly close. He won the Electoral College with 306 votes to Trump's 232, and the popular vote by more than 7 million ballots. Recounts in key states affirmed Biden's victory, and lawsuits challenging the results were unsuccessful.

Trump claims Putin endorsed Harris

TRUMP: "Putin endorsed her last week, said 'I hope she wins.'"

THE FACTS: Russian President Vladimir Putin did wryly claim last week that Harris was his preferred candidate, but intelligence officials have dismissed the comment as not serious.

U.S. intelligence agencies have said Russia favors Trump, who has openly praised Putin, suggested cutting funds to Ukraine and repeatedly criticized the NATO military alliance.

Harris takes Trump's 'bloodbath' comment out of context

HARRIS: "Donald Trump, the candidate, has said in this election there will be a bloodbath if this and the outcome of this election is not to his liking. Let's turn the page on that."

THE FACTS: Trump delivered the line at a speech in March in Ohio in which he was talking about the impact of offshoring on the American auto industry and his plans to increase tariffs on foreign-made cars. It was in reference to the auto industry that he warned of a "bloodbath" if his proposals aren't enacted.

"If I don't get elected, it's going to be a bloodbath for the whole — that's going to be the least of it. It's going to be a bloodbath for the country," Trump said.

Trump misrepresents key facts of the Central Park Five case

TRUMP: "They admitted, they said they pled guilty and I said, 'well, if they pled guilty they badly hurt a person, killed a person ultimately ... And they pled guilty, then they pled not guilty."

THE FACTS: Trump misstated key details of the case while defending a newspaper ad he placed about two weeks after the April 1989 attack in which he called for bringing back the death penalty. Trump wrongly stated that the victim was killed and that the wrongly accused suspects had pleaded guilty.

Trump appeared to be confusing guilty pleas with confessions that the men — teenagers at the time — said they made to police under duress. They later recanted, pleaded not guilty in court and were convicted after jury trials. Their convictions were vacated in 2002 after another person confessed to the crime.

The victim, Trisha Meili, was in a coma for 12 days after the attack but ultimately survived. She testified in court against the wrongly accused suspects, who are now known as the Exonerated Five. In 2002, Matias Reyes confessed to the crime and said he was the lone assailant. DNA testing matched Reyes to the attack, but because of the statute of limitations he could not be charged in connection with it.

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Associated Press writers Melissa Goldin, David Klepper, Ali Swenson, Matthew Daly, Chris Rugaber and Tom Krisher contributed to this story.

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Find AP Fact Checks here: https://apnews.com/APFactCheck.