Does not removing the hair that must be shaved from the body before fasting to make up for days of Ramadan invalidate the fast?

There is no relationship between making up missed Ramadan fasts and removing hair that is commanded to be removed from the body. One should hasten to make up the missed days before the arrival of the next Ramadan, and the fast is valid even if the hair has not been removed. Removing hair is easy and can be done by various methods such as plucking, shaving, or using depilatories, all of which are permissible. One should not leave pubic hair, armpit hair, and the like, which are commanded to be removed, for more than forty days.