Sublimation (which is a form of evaporation whereby the solid bypasses the liquid state and becomes a gas)will help erode any ice in clear, colder temperatures aloft...
Don't count on that. Ever. The ability for that to happen is largely proportional to the relative humidity at altitude, but it may never sublimate. If it does, nice for you...but don't ever count on that. I spent nearly three hours one day last week working in and out of weather in conditions very conducive to ice formation. I had nearly three inches on unprotected areas, and didn't shed any until descent to lower warmer temps in the clear. Even then, we were still shedding ice on final...in the middle east. It's dry here, too. Very dry, with a very wide temp/dewpoint spread at altitude, but outside the cloud, we didn't see any effects of sublimation.