Those illustrations are really meaningless. The localizer is useable for the distance set forth in any given ILS IAP. Flight inspection and facilities technicans make sure that is the case.
I have personally never seen that written in any AIP. In one I could find the range of the associated Lctr. but not the localizer. I was taught 18 nm (ICAO) and use that in my practical flying (18 nm, correct sensing, arm VOR/LOC).
I have also seen the LAX localizer for 25L/R, which extends some 45 nm to the east?