Unplayable songs in Apple Music Library
Last year I bought an M1 iMac. I uploaded my CD library to Apple Music from my old iMac (where I had previously burned them into iTunes). A number of my albums / songs are greyed out and display the dotted iCloud symbol next to them in Apple Music which signifies (according to Apple) that "The song is waiting to be uploaded, can't be matched, is no longer available in the Apple Music catalogue or hasn't been released yet."
I suspect in my case the song can't be matched because quite a few are classical and perhaps not in the Apple Music universe.
My question is am I now destined not to be able to listen to some of my CDs digitally on my phone, iMac etc? Or is there another way to add them to my Library given I own the physical CD?
Thanks!