N.M. Stat. § 38-1-15
[Pendency of suit; time within which process must be
served; cancellation of lis pendens notice.]
For the purpose of the preceding section [38-1-14 NMSA 1978], it is considered that
an action is pending from the time of filing such notice; provided, that such notice shall
be of no value, unless it is followed by the service of such citations or process of
citation, or by notice by publication to the defendant, as provided by law, within sixty
days after such filing. And the court in which said action was commenced, may in its
discretion, at any time after the action shall be settled, discontinue or revoke on
application of any person injured, and for good cause shown, and under such notice as
may be directed or approved by the court, order the notice authorized by the preceding
section to be canceled by the county clerk of any county in whose office the same may
have been filed, and such cancellation shall be made by an indorsement to that effect
upon the filed notice which shall refer to the order.