Purchased music not playing on computer

What happens when you try to play the purchased music exactly?

Do you get an error? If so, what does it say?

Assuming these are purchases made in the iTunes Store, has the computer been authorized to play purchases from the Apple Account that was used to make these purchases?

click here ➜ Authorize or deauthorize your computer for Apple Account purchases - Apple Support

Provide more details and context about your issue, and someone here may be able to advise.