Bring closure has a specific meaning nowadays: to reconcile one's emotions to a traumatic event; to attain a sense of psychological certainty or completeness. For the others, I find these natural: "bring an end to ~", "bring to a close ","bring to a conclusion ", "bring a halt to ~", "bring to an end ".
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.