The ornamental design for a wallmountablenon-disposable razor holder, as shown and described.
FIG. 1 is a top plan view of a wall mountable nondisposable razor holder
showing my new design;
FIG. 2 is a front elevational view thereof;
FIG. 3 is a left side elevational view thereof, with the razor illustrated
in dotted lines for illustrative purposes only, the opposite side being a
mirror image thereof; and
FIG. 4 is a front, top and left side perspective view thereof.