The right to continue a land use or activity or construct a building or structure which is either permitted by this chapter or established as a legal nonconformity shall be vested with the property rather than the owner. No rights shall be terminated for reasons of transfer of ownership. The right to continue a land use or activity shall transfer automatically upon the conveyance of the property unless terminated pursuant to § 152.069, Nonconforming Uses, Structures, and Lots.