How to PERMANENTLY delete certain music from my iPhone?

I was originally told to go into music, click the '…' and hit remove download (and I also tried the "delete from my music" button), but every time I plug my phone into my computer and let iTunes sync (mainly so I can put new songs in) they come back. I want them gone. I want them to burn in the fire in which they came from. HOW?

Nope… Iphones are garbage

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