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If you mean that you have duplicates on the phone, then either use a file manager from the Play Store (I use a free one called File Manager) to manually delete one set of songs or connect to a PC and use File Manager. In each case, the find function is going to help.
It doesn't sound like this is an issue with play music. It sounds like an issue with tune sync no?
Sounds like the duplicates may have gotten added to your library.
Have you tried deleting duplicates from the play store website?