ORS § 517.260
If the notice is served by any sheriff as provided in ORS 517.250, the sheriff shall make return by filing the notice with the return showing service with the county recorder, or if there is none, with the county clerk, for the county within which the mine is situated. If personal service cannot be had as provided in ORS 517.250, proof of service shall be made by filing with the county recorder, or if there is none, with the county clerk of the county in which the mine is situated, the notice as published, attached to an affidavit made by the printer, foreman, or publisher of the newspaper, to the effect that it is of general circulation throughout the county, is published weekly, and that the notice was published at least once a week in that newspaper for a period of not less than 90 days after the first publication of the notice.
ORS 517.260