Not dissolve. The tubes are pushed out as time goes by and come out naturally.
However, the tubes are not meant to be permanent. Apparently when you wear them a year, even after they take them out, the problem can be completly solved. I had 2 perfect years. Then I started to smoke again and I got one ear clogged again. So they put one back in right in the doctors office. It was forced out by the pressure after only a month, but it fixed the problem. As long as I don't smoke my ears stay ok.
So, I would advise reconsidering tubes if you are under the impression that the problem returns after the tubes come out, and they come out after a year.
In fact, the tubes can be a permanent solution.