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1st, you must have the bought item PAUSED in your Download Management (under Network) then u backup ur Ps3 & when you restore it, you can finish downloading it & it will work fine ( this works with the CoD4 Mappack 4 sure )...i had a few other ps1 games that were already installed & they got a copyright error, & when i finished downloading it from the Download Management, it worked Good.
Warning: if you had any bought items off the PS store that are installed on your Ps3, they will become corrupt... although if u have them in your download history, you can reinstall them