(Cover) - EN Showbiz - Newly engaged couple Miley Cyrus and Liam Hemsworth don't spend too much time apart.

The Hollywood stars both have incredibly hectic professional schedules.

Miley, 19, shot a magazine editorial in Malibu, California on Wednesday while Liam, 22, has been in New Orleans filming his upcoming movie Empire State. The former Disney star is also thought to begin recording her new album in upcoming months.

Miley hopped on a plane Thursday to be with her man, flashing her 3.5 carat gold diamond ring designed by Neil Lane to photographers.

"Even when they're working, they find time to be together," a source told People magazine.

The couple announced their engagement this month, but have yet to begin planning their wedding.

"She's playing that part by ear," the source revealed.

The pair met while they were making the 2009 movie The Last Song. They briefly split in August 2010 but reunited a year later and have been happy ever since. (C) Cover Media