conditions.] Any purchaser of timbered lands under the provisions of this act N.M. Stat. Ann. § 19-11-1 to 19-11-9 shall be privileged to lease additional state timbered lands for grazing purposes, but in which event the granting of said lease, by the state, shall be conditioned upon the lessee’s compliance with the rules and regulations adopted by the commissioner of public lands, for the general protection of timber and timber products on said leased land, or other state timbered lands adjacent thereto.