I don't know what you consider a long time, but my wrap is four and a half years old. My stomach burps itself, and at times those burps can be very productive, pre-wrap burps. I don't make them happen, though, so it's at my wrap/stomach's whim. When the burps aren't as big, there can sometimes be an uptick of flatulence, but I don't find it to be a big, noticeable problem. I'm sure it's more frequent than my pre-wrapped days, but not a real problem for me.
If you can burp, try Gax-X. If your stomach is in a burping mood, it can get things going. If you're going to eat gassy vegetables like beans, etc. try BEANO, an enzyme that helps digest them and stops the production of so much gas. I used to use that more often when I was first wrapped. I now eat all those gassy foods with abandon, and only sometimes do they create a noisy problem for me!
Glad you've joined the forum!