The lot tract, parcel of land, or any other type of real property or real property improvements upon which the type of activities listed in RCW 60.24.020, 60.24.030, or 60.24.035 are to be performed, or so much property thereof as may be necessary to satisfy the lien and the judgment thereon, to be determined by the court on rendering judgment in a foreclosure of lien, shall also be subject to the lien to the extent of its interest of the persons who in their own behalf, or through any of their agents, caused any of the types of activities listed in RCW 60.24.020, 60.24.030, or 60.24.035.