Cyrus blogs that she and Hemsworth are a busy but happy couple

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Don’t believe recent chatter suggesting that Miley Cyrus and her Aussie hunk have split due to his rising popularity and her supposed jealousy. According to Cyrus, that is so not the case.

“Just wanna clear up a rumor. Liam [Hemsworth] and I did not break. EVER! We are so happy and a lot of that has to do with the amazing relationship he has with my family,” she writes on her Web site.

The couple met in 2009 on the set of The Last Song, based on the Nicholas Sparks novel. They attempted to keep their relationship out of the spotlight, but in March, Cyrus admitted that she and Hemsworth had been dating for 10 months.

Hemsworth, 20, is currently in negotiations to star in the 3D action film Arabian Nights. And Cyrus’s third album Can’t Be Tamed drops June 22. With two demanding schedules and plenty of travel, no wonder rumors surface. But it’s clear that family bonds help keep the couple in sync. “We are both so busy right now, so having them by our side supporting us and our career is such a blessing!” Cyrus writes.