I've got a few hardcover books. I usually read paperback, but sometimes I'll find myself with a hardcover book.
Often, these will have jackets on them. Paper jackets that rip and get in the way and fall off when you try to move them. You can't even use them as proper bookmarks, they'll just slip out. (No, I love those covers, why do you ask?)
Is there any harm that it will do to the book itself if I remove the jacket and permanently keep it off?