All navaids have a "standard service volume" within which accurate navigation signals are guaranteed unless otherwise published in the A/FD or by NOTAM. You can find these in Section 1 of the AIM for the various types and classes of navaids. For example, here's the SSV for a Terminal class VOR:
Outside that volume, there are no guarantees of reception/accuracy unless they've been specifically flight-checked by the FAA as part of a published route. For example V44 runs 94 miles from MRB to MGW even though those two VOR's have only a 40 mile radius each at V-airway altitudes. However, the FAA has flight-checked the length of that airway all the way and determined that it's possible to fly it safely at the 5000 MSL MEA. They did put a change-over point (COP) 41 miles out from MRB and 53 miles out from MGW which is where you lose the MRB signal at MEA but you can pick up the MGW signal that far out at that altitude.
Controllers are normally not permitted to let you fly outside the SSV's (other than on published routes like V44) under IFR when using the navaids for navigation (as opposed to radar vectors or approved area navigation systems). The section cited allows them to clear you on direct navaid-to-navaid routes beyond the SSV (or other limitations from the A/FD or NOTAMs) under VFR-on-top
if you request it.
My point in response to Steven's noting of that point is that you'd better be darn careful about making that request, because if you drift off course due to signal problems outside the SSV (or beyond those published limits), it's going to be entirely on your head, not the controller's, since you were entirely responsible for your own navigation. And while Steven made a point about separation from other aircraft, that's not the only thing from which you must remain separated, e.g., special use airspace or terrain. Now, one would expect that if you remained in VMC
in daylight, you might not see terrain out there
at night, and other than the flashing light system in the DC area, SUA's don't have big yellow "DO NOT CROSS" police tape up in the sky.