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Source: Miley Cyrus and Liam Hemsworth Still Together

Jon Kopaloff/FilmMagic(LOS ANGELES) -- There is no truth in the rumors that Miley Cyrus and Liam Hemsworth have split, according to E!, but sources say there are some difficulties that the couple needs to work on.

"[Miley and Liam] have been a bit rocky, but are not giving up," says an insider.  "They both want it to work."

Hemsworth is on vacation in Australia with his family at the moment, while Cyrus is in Los Angeles.  He is expected back in the U.S. in a few days.

Reps for Cyrus and Hemsworth have yet to comment on speculation about the couple's relationship.  Cyrus spoke for herself last week, via Twitter, when she tweeted that she’s "not discussing anything but my music from now on."

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