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“We did it before,” Gyan said. “We did it in 2006.”

While the U.S. came from behind to draw England 1-1 and Slovenia 2-2 in the first round, the Americans looked ragged the time. They go home pondering a World Cup that could have been so much more. They thrilled the large number of American who were the largest group of overseas ticket buyers, but failed to do as well as the 2002 team, which reached the quarterfinals in the best U.S. finish since 1930.

The defense allowed the first goal in three of four games, and the Americans kept up their record of never coming from behind to win in 29 World Cup matches.

With Donovan, Dempsey and Howard in the primes of their careers, the U.S. had high expectations coming off a first-round exit four years ago. Because a growing fan base watched on television in record numbers, the loss was even more stinging for a team still struggling for recognition both in the soccer world and among sports fans in America.

“Soccer can be a cruel game,” Donovan said. “Sometimes you’re at the top and sometimes you are at the bottom of the mountain.”

Ghana’s only two goals in the first round had been penalty kicks by Gyan, but Boateng, whose half-brother plays for Germany, quickly put the Black Stars ahead from the run of play. After stealing the ball from Clark at midfield, he sprinted in on DeMerit, cut to the outside and turned the defender around as Clark chased in vain.

Clark, who hadn’t played since the opener against England, was replaced by Maurice Edu in the 31st minute.

The best U.S. chance of the first half came in the 35th minute. Michael Bradley, the coach’s son, intercepted a pass and Robbie Findley, back from a one-game suspension, had an open shot. But goalkeeper Richard Kingson got his left hand on the shot.

Benny Feilhaber replaced the ineffective Findley at the start of the second half, with Dempsey moving up to forward. Feilhaber immediately had a chance when Jozy Altidore tipped the ball to him, but a sliding Kingson got a hand on it.

The U.S. had conceded six straight penalty kicks since John Souza converted against Chile in 1950 before Mensah took out Dempsey’s leg.

Donovan kneeled down behind the ball in concentration, then clanked it in off the far post for his American record 45th international goal. With his third goal of the tournament and fifth in World Cup play, he surpassed Bert Partenaude (1930) as the American career leader.

Herculez Gomez replaced Altidore at the start of overtime as Bob Bradley used his last substitution for fresh legs on offense.

Former President Bill Clinton, who watched Donovan’s goal against Algeria lift the U.S. to a 1-0 win and into the knockout phase on Wednesday night, stayed around and watched from the VIP area once again. This time he wore a blue U.S. team warmup jacket, and Mick Jagger of the Rolling Stones sat next to him.

The early Ghana goal quieted American fans, some in red, white and blue wigs and Uncle Sam hats. One even a brought a life-size cutout of President Barack Obama, who called the team to congratulate players after the Algeria win.