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Kuznetsova won the French Open title in 2009 and the U.S. Open in 2004 but is seeded No. 26 this year. She defeated Mirjana Lucic of Croatia 6-1, 6-3. Ivanovic, the 2008 champion at Roland Garros, beat Lara Arruabarrena-Vecino of Spain 6-1, 6-1.

For the men, 2009 U.S. Open champion Juan Martin del Potro beat Albert Montanes 6-2, 6-7 (5), 6-2, 6-1. The ninth-seeded Argentine played with tape on his knee early in the match, and then added a wrap after a massage from a trainer following the second set.

“It’s a problem when you can’t find your balance like you’re used to, but I’ll use these few days of rest to get better,” Del Potro said. “If I go on the court, it’s because I feel good. I want to continue playing.”

Juan Carlos Ferrero, the 2003 French Open champion, beat Jonathan Dasnieres de Veigy of France 6-1, 6-4, 6-3. The 32-year-old Spaniard is one of 37 men in this year’s draw that is 30 or older, an Open era record for Grand Slam tournaments.

“I saw myself in the mirror, and when I walk on the court I don’t think about whether I’m younger or older. The only thing I try to do is play well,” Ferrero said. “And I’m at Roland Garros, and the idea is to play well today.”

Jo-Wilfried Tsonga, the highest-seeded player in action on Sunday at No. 5, also advanced. The Frenchman defeated Andrey Kuznetsov of Russia 1-6, 6-3, 6-2, 6-4.

After Tsonga wrapped up his victory, it was time for Williams to get on court. And although she made it through to the next round, many are still wondering how long her game can last.

“Oh, I already know I can play. That’s not a doubt,” Williams said. “Everything else is up in the air.”