Tenant vacates - leaves some possessions behind - NC

A tenant vacated ( moved their trailer ) and left items behind such as
 broken bicycles, lawn mower, childrens toys, broken ironing board, etc.
 They have been gone for 2 months now. We called them to have them
 come to remove their belongings, but they said they only wanted the
 lawn mower. We told them "All or nothing". The woman hung up.

  Do they still have a right to claim their belongings or is there a time
 limit whereby they forfeit such ?

 TIA

  Ima