Try finding an Agatha Christie book today with a halfway naked woman on the cover. Map Backs were something that the Dell Publishing house invented to intrigue the readers. There would be maps of the house, town, city or room, so that you could follow all the characters and try and figure out by their movements who might have done the ghastly deed. The lamination is peeling off the cover of the book, more obviously on the back thankfully. A plastic slip cover in definitely needed for storage.
Tape is a very shortsighted solution.
The only thing tape is good for is wrapping Christmas and Birthday presents. We all know what old tape does, it falls off, turns either gummy, yellow, or into dust, and in general looks dingy by weeks end. The brittle nature of the Lam-Lift allows the edges of the book to be easily scared. There are very obvious chips and dings along the edges, with corner creases tearing at the books back binding. The last and tiny flaw is a signature by one of the previous owners on the inside cover.