Mo. Rev. Stat. § 470.150: Copy of record filed with state treasurer.

Upon the return of such writ of possession, the prosecuting attorney shall cause the record and process to be exemplified under the seal of the court and deposit the same in the office of the state treasurer; and he or she shall cause the transcript of the judgment to be recorded in the office of the recorder of the county in which such estate is situate; and such judgment shall preclude all parties and privies thereto, their heirs and assigns, so long as such judgment shall remain in force.