"-고" chains an action to 자르다 "cut", and 자르다 is doing several jobs across these lines. Physical cutting: idols grow their hair, cut it, perm it, curl it; thin out the fringe and cut it. Cutting a recording into sections: listen to the whole thing a few times and then break it up. Cutting a person off mid-sentence: not hearing someone out and cutting them off. And firing: Kimmel's no good and has to be cut. Only context tells you which.