VERY good price for a NEW LP with a tiny hairline crack !
A physically NEW LP bolt-on for VERY cheap! The tiny crack may be only in the finish from the nut bottom back toward the main neck shaft. A tiny bit of thinned yellow glue in the bottom/front of the nut slot may be needed. Just MAYBE!
A handy person can fix this easily and I know how to do setups ...so under $135 delivered for a new LP is a DEAL. Nice rosewood fretboard and a very sharp LP and 'bolt-on' is NOT a shortcoming for most players. The dry fretboard will look and feel better with a very light fretboard oil wipe AFTER any re-glue is done. Short scale, well made, well finished and new with a tiny crack for under $135 delivered is a DEAL !