I TIG welded my mufflers and believe me, at some places they where really thin.
When you start welding at the rusted and thin parts, you will burn one hole next to the other. Just keep burning those holes just until material gets thick enough to weld.
Then bend some (1mm) stainless steel plate and size it so it covers 1/2 diameter (then you can weld it at the place where both halves off the exhausts join.) Make the plates long enough so you don't have to weld 1 plate next to another.
Also, use stainless wire to weld with.(this extracts impurities from weldspot and works much easier)
You can polish the stainless steel. it will look chromed.
Those mufflers you see on my profilepicture are welded on several places.
It takes some time and patience, but saved me more then 700 euro.
good luck
Roy