I'm sure yours are much fancier than mine but mine do work. Just get a piece of dowel that's just under bore size, chuck it up in a drill and use a file to cut rings in it. Add a knob and voila you have a cleaning jag.
Top and middle are short starters. The long starter is for tight patched balls for my Hawken. The short one wont push the ball far enough down to use the ramrod.