Mich. Comp. Laws § 600.3236
Unless the premises described in such deed shall be redeemed within the time limited for such redemption as hereinafter provided, such deed shall thereupon become operative, and shall vest in the grantee therein named, his heirs or assigns, all the right, title, and interest which the mortgagor had at the time of the execution of the mortgage, or at any time thereafter, except as to any parcel or parcels which may have been redeemed and canceled, as hereinafter provided; and the record thereof shall thereafter, for all purposes be deemed a valid record of said deed without being re-recorded, but no person having any valid subsisting lien upon the mortgaged premises, or any part thereof, created before the lien of such mortgage took effect, shall be prejudiced by any such sale, nor shall his rights or interests be in any way affected thereby.
MCL 600.3236