Apple Music purchases grayed out and unplayable

Re: "Apple Music missing purchases

Apple Music has grayed out some of my purchases and won’t let me play them. Why?"

Seems Apple Music is not a back-up service for our purchases: Apple support's article (link below)

About purchasing movies, TV shows, music, books, and ringtones from Apple - Apple Support

Eg: says:

"Any digital media you buy from Apple can be permanently downloaded on to an iPhone, iPad, Mac or Windows PC.

Content you purchase from Apple will generally remain available for you to redownload or otherwise access from Apple. Although it is unlikely, content may be removed from Apple Media Services and become unavailable for further download or access (for instance, because Apple loses its right from the content provider to make it available). To ensure your ability to continue enjoying your films, TV shows, music, books and ringtones, download all purchased content to a compatible device in your possession."

You may or may not be able to redownload your previous purchases:

See how to: Redownload music from the iTunes Store on your iPhone or iPad - Apple Support

Trouble-shooting:

If there’s an issue when you redownload apps, movies, or other content from Apple - Apple Support

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Else: If you recently turned on Sync Library:

See: If songs are missing from your music library after you turn on Sync Library - Apple Support

Eg: says:

"Song is grayed out

• If the song was purchased from the iTunes Store, authorize your computer to play iTunes Store purchases.
• If you see No Longer Available next to a song that's grayed out, the song was added from Apple Music and was removed from the Apple Music catalog."

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Apple's Music Support website: Music - Official Apple Support