Duplicates in Apple Music: how to fix them

Thank you! Sorry, for whatever reason I didn't get the subscription update, and only spotted this today.

Interestingly, your instructions don't work for me: the problem is that Music does not consider the tracks in my library as being duplicates of tracks in Apple's library. So here's an example: when I search for duplicates per the above procedure, I see no duplicates for the band the Mavericks.

But when I look up the Mavericks to listen to, I see this:

So it looks like the tracks in Apple Music -- or at least three of them! -- are showing up together with the ones in my library.

And it gets even more complicated, because in the Library > Artists screen, I see two entries for the Mavericks:

The second one seems to cover only the items that are in Apple's library, and not mine:

Note that the first three tracks from Apple's library are showing up on the same Album page as all of mine, but the rest of the Apple tracks are shown on a separate Album page.

I don't know if I'm doing something wrong, or if Apple is just not doing a great job of fusing the old iTunes interface with the brave new world of streaming. The old interface didn't really have to deal with the problem of making it visible to us where the music is: it was always in the library. Now, as I said above, music might be in my library or Apple's and I am not finding the UI helpful in making this visible to me. But maybe I'm just not getting something, since I'm new to the paid Apple Music plan.

Thanks