iTunes corrupt songs

My macbook is telling me to authorize a song repeatedly, which I understand is a sign of a corrupted song file. How do I fix this? I found someone suggested "Delete the tracks that won't play from your library without hiding from your purchase history." But I don't really understand the "without hiding from your purchase history" part. What does that mean? How?

In any case I selected "Delete from Library" from the three red dots menu (?), it asked if I wanted to move to trash or move to music folder (IIRC), I said trash it, and it's gone, but there's no option to re-download it as I thought there would be. Thanks.