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Jessica Simpson & John Mayer Split

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http://www.people.com/people/article...039447,00.html

Jessica Simpson and John Mayer have ended their romance – but perhaps not for good, a source close to Simpson tells PEOPLE.

"They have broken up," says the source. "But they have broken up and gotten back together at least ten times before."

According to the source, the pair are in constant contact – even as Simpson promotes her new film Major Movie Star at the Cannes Film Festival in France. "They talk to each other at least six times a day. I don't know if this breakup is permanent, but for right now they are broken up."

Another source who knows the couple confirms to PEOPLE that pair have split. "She's kind and sweet and he's a terrific guy, but it's safe to say it has run its course."

Reps for Simpson, 26, and Mayer, 29, refused to comment on their clients' personal lives.

Simpson and Mayer have been gradually more and more open about their relationship after months of playing coy. Asked about Simpson in February, Mayer told Time Out New York, "I'm having the best time of my life, so if the names don't make sense to people, that's so small to me."

Soon after, though, the pair stepped out in a big way, taking a joint vacation to Italy in March. And when Mayer's Continuum tour hit Australia in April, Simpson was frequently by his side, spending down time with her beau on Byron Beach.

While Down Under, the two were prone to public displays of affection. Said a fellow passenger flying in business class with the couple from Sydney to Perth: "They were snuggling together."

And Mayer has earned praise from Simpson's family. Recently, Joe Simpson told PEOPLE, "If Jessica is in love, I love the things she is in love with." And he added: "I want her to be happy."