Does the 'Greatest Hits' versions of Ps3 shares the same Save File as the original, black label version?

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Does the 'Greatest Hits' versions of Ps3 shares the same Save File as the original, black label version? For example, Final Fantasy XIII? I'm not talking about the extras that have the DLCs or new content, but the ones that are different due to the version/color of the box. Can i continue playing on a regular/Greatest Hits version with the same save file, if both of the games are NTSC/PAL and from the same region?
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What does Black Label mean on Playstation games?
Black label means original release. A copy of a game which isn't "Greatest hits", "players choice", "platinum" or anything else like that.Ylvis - The Fox (What Does The Fox Say?) [Official music video HD]
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