Right-click your iPod in the iTunes Devices list and select "Restore from Backup."
Click "Continue."
Tap "App Store" on your iPod and select the application you want to re-download.
If an iPod needs to be restored due to operation problems, your applications will disappear. Lost applications can be recovered by installing the backup versions from iTunes, or they can also be downloaded again for free from the App Store provided you use the same account as for the original purchase.
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