adding apple music songs to playlists
How do I add downloaded songs from Apple Music to pre-existing playlists on ipod?
iPod Classic
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Perhaps these articles will help:
Create playlists on iPod touch - Apple Support
View albums, playlists, and more in Music on iPod touch - Apple Support
or see the "Turn off add playlist songs > On your iPhone, iPad, or iPod touch" section in:
Add a song to a playlist in Apple Music without adding it to your library - Apple Support