N.J. Stat. Ann. § 56:8-95.2

4. No provision of P.L.2015, c.7 (C.56:8-95.1 et al.) shall be construed to limit or restrict any municipality, county, local health agency, or municipal or county board of health from enacting or enforcing, or interfere with the implementation of, or otherwise invalidate, any law, ordinance, rule, or regulation that places additional obligations on pet shops or restrictions on pet shops or pet shop sales.