I have a problem doing this. I moved my Touch from my PC to my Mac, of course losing my Purchased apps in the process. I contacted Itunes and they let me Download it again. It seems to have redownloaded because now on my Mac in the Library/itunes/mobile application folder I can see the app listed several times. But it does not show up in my purchased list in Itunes nor does it let me sync it to the touch. Any Ideas Guys ?