They should. They are carbon copies of my previous, beautiful, green baby cables socks. I loved them, and I wore them a lot. Therefore, I washed them a lot. But, as everyone knows, you don't wash wool...or if you do, you certainly don't do it in hot water, and you really don't throw them in the "heavy duty" dryer cycle.
If you do, eventually they look like this:
And, then you have to make new ones.