S.D. Codified Laws § 15-9-21
Current with legislation signed by the governor on or before 3/6/2024
The service of summons, writ, order, or decree by publication shall be deemed complete upon the last publication thereof ordered by the court. The time in which answer shall be required by the writ, order, or decree become effective, shall commence to run the day next following such last publication. In case personal service shall be made upon any defendant as to whom the publication has been ordered, service shall be complete on the date of making such personal service.
SDCL 15-9-21