This following post is a quote and my response that were lost due to the site issue and subsequent restore to earlier date. The quote below was posted after that restore point, and therefore got lost.
^^^....No one?
I know this is an old thread but I have a pair with the same issue where it has an intermittent break where it goes into the left can. The bracket that the speaker is attached to looks like it sits on 3 white/ yellowish posts and some hot to used to melt them in place used. I'm not sure what the best method is for breaking these 3 connections loose to get the speaker out and once the cable is repaired how to secure them back in. If this was just for personal use I would use any means possible but I plan on selling them and don't want it to look like Ray Charles did the work. Any suggestions?
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I redid the wiring in mine when my left channel became intermittent.
From the pic that you show, grab (lightly) the mesh driver cover and twist counterclockwise. It should turn just a little to then unlock the tabs that seat the driver. Then just pull straight out.
Don't attempt to remove the black plastic ring. You can work on it with it in.
Once you have the driver out, you'll see the wires and how they feed inside.
I unsoldered the driver, and the lead that goes up and over to the other driver - the negatives are shared. This freed up the cable and plastic tube to be fished back through the can and out the bottom where they go in.
I ended up clipping off about 6 inches or so, then, over the period of about an hour and taking breaks from getting frustrated, fed the cable back through.
Patience and gentle determination proved successful.
Once it was back in, I resoldered the driver along with the the other driver lead I unsoldered.
In my case, I got lucky, and the 6 inches I removed was where the break in the cable was. They now work like new, and still retain the original cloth covered cable and plastic stress relief.
I would strongly recommend doing it on a day that you've got plenty of time and patience.
Good luck!