Do you have any kind of battery saver or power management app installed? The app I was using turned off my auto sync in the power settings widget ( Easy battery saver) I'd never used that widget, but after searching for hours and hours I found an old post from someone in the philippines who had the exact same problem I was having. ( 1 post out of the dozens I had searched... finally!)
I also have a RAZR and was looking in all my apps but couldn't find it. Then I pulled up "add a widget", scrolled down and there it was. D'oh! I uninstalled "easy battery saver", turned auto sync on in the power settings widget... That did it!
I really liked the "easy battery saver" app, So I reinstalled and just made sure that auto-syncing was enabled. Haven't had any problems since.
Hope this helps