Dumb question about exoplanets: I'm seeing it said in a lot of places that the terminator zone of a tidally locked planet could potentially be habitable. Now I get that on a planet where one side is continuously bathed in light and becomes too hot for liquid water while the other side is a frozen wasteland, there is going to be a transition zone with temperatures in the right range for liquid water. My issue is that it seems to me that the water isn't going to stay there: Whenever water evaporates, some of it will be carried to the dark side, where it snows down never to be seen again (except if its molten by volcanic activity or pushed back front by plate tectonics, both processes that would seem to slow to cancel out the losses). Even CO2 may well freeze - even on Earth, there are places where its cold enough for CO2 to freeze, if only we had a bit more in our atmosphere. Once CO2 and water have left the atmosphere, not much of a greenhouse effect will remain and it may well get cold enough for nitrogen to snow as well (there are apparently places on the moon, which, being the same average distance from the Sun as the Earth, is by definition in the habitable zone, where it is cold enough for solid nitrogen).
In conclusion, wouldn't the most likely outcome be that all water, and indeed most of the volatiles, become locked in a thick iceshield on the dark side within a short few tens of million years?
Related question: what would be the effect of such iceshields on the tidal locking? would the planet gaining a lot of mass on one side in the form of a thick iceshield help it escape the tidal locking (so that some of the ice would be exposed to the sun again? Or would it even help stabilize the synchronicity of orbit and rotation, being that the ice is less dense than whatever makes up the bulk of the planet?