N.M. Stat. § 53-19-66.1
Administrative revocation.
A limited liability company may be revoked by the commission [secretary of state] if:
A. the limited liability company has failed for a period of thirty days to appoint and
maintain a registered agent as required by the Limited Liability Company Act; or
B. the limited liability company has failed for a period of thirty days, after change of
its registered office or registered agent, to file in the office of the commission [secretary
of state] a statement of the change as required by the Limited Liability Company Act.