N.M. Stat. § 62-13-12
The filing of an instrument with the secretary of state under the provisions of Sections62-13-8 and 62-13-9 NMSA 1978 together with the recording of the notice under the provisions of Section 62-13-11 NMSA 1978 in the office of the county clerk in each county where any real property is situate shall for all intents and purposes be equivalent to recording the same instrument in the office of the county clerk in each county where any part of the real or personal property is situate, as contemplated by Sections14-9-1 through 14-9-9 NMSA 1978, and equivalent to filing the instrument as contemplated by Sections55-9-401 through 55-9-407 NMSA 1978, which filed instrument shall remain effective until a termination statement is filed.
NMS § 62-13-12