You can play PS2 games on your PS3 if you have the right model. Learn how to tell if your PlayStation 3 is PlayStation 2 backward compatible.
Playstation 3
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Recently there's an influx of “PS5 backwards compatible” articles on google reporting it will play ps1 through ps4 titles. If it's true, much respect to Sony. : r/PS3
How to play PS1 & PS2 games on a non backwards compatible PlayStation 3 (PS3)
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Backwards Compatibility - PlayStation 4 Guide - IGN
PS4 Backwards Compatibility: Can You Play PS1, PS2, and PS3 Games on PS4?
These PS2 Games Shouldn't Work Right On PS3's With Full Backwards Compatibility But
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Sony Playstation 3 Backwards Compatible - Video games & consoles
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Playstation 3 Backward Compatibility (PS2 Playable)