Purchased songs wouldn't play: "computer not authorised"

Repeated requests to authorize an already authorized computer for recent store downloads typically indicates you have corrupt or incomplete copies. Delete the tracks that won't play from your library without hiding from your purchase history. If you are an Apple Music or iTunes Match subscriber you can use Remove Download for the same effect. Redownload using the cloud links that should remain, or close iTunes and reopen if they don't show up straight away. While downloading click the activity widget and turn off the option that allows for simultaneous downloads.

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Use the option-start-Music method to create a new empty library. This should show all of your available unhidden purchase history. Tracks purchased before 2009 may well have DRM. Some may also no longer be available. Assuming you can see the tracks in question listed, download them to your library, check that they play, then paste over the troublesome copies in your main library's media folder and switch back to the main library.

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See Repair security permissions for iTunes/Music for Mac - Apple Community for general advice. Do you have an Apple Music subscription? Have you checked that the computer is/remains authorized for your Apple ID?

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I have problems similar to berthold209's. Since “upgrading” to Sonoma yesterday, I cannot play any downloaded music file that was from a source other than Music / iTunes. My personal recordings and those imported from CDs have not been affected. The files affected were legally purchased directly from the artists’ or their distributors’ websites. Any solutions to this “bug” - if indeed that is what it is - would be greatly appreciated. Thanks!

MUSIC 1.4.4.48

Sonoma 14.4.1

MacBookPro 2019

Well, it's really not helpful or constructive when our valid and constructive comments are deleted. There is always oversight, and EVERY comment is received and recorded by the true Authority. And thank Heavens for that! Greener pastures await.