Should i wash my shoelaces in the washing machine?

i've never put my shoelaces in the washing machine fearing they would get messed up and change to a different color. But i have some really bright white laces and just got a little dark stain on them, it wont come out with the usual stuff i use. So if i throw them in the waashing machine with my other white clothing would the stain disappear and go back to bright white? I have that clorox bleach pen, should i apply that on both laces before putting them in the machine? Or just where the stain is?