Razor unit handle

FIG. 1 is a perspective view of an ornamental design for a razor unit handle design according to the present invention;

FIG. 2 is a top elevational view thereof;

FIG. 3 is a bottom elevational view thereof;

FIG. 4 is a left side view thereof;

FIG. 5 is a right side view thereof;

FIG. 6 is a front view thereof; and,

FIG. 7 is a rear end view thereof.

The broken lines are shown for illustrative purposes only and form no part of the claimed design.