When I bring up iTunes I see several LimeWire Tunes folders in the folder listing. I just can't figure out what causes this and how to delete the other folders. I see something like this in iTunes

Myname LimeWire Tunes
Myname LimeWire Tunes(1)
Myname LimeWire Tunes(2)

They appear to be identical and just bug me. Any advice how to stop this from happening?

I'm not sure whey you'd get multiple listings unless someone else can think of a reason. The only reason I can think of is you've changed your iTunes Music Library location. The other is you've used a different name in the iTunes sharing option compared to LW's iTunes share option or you've changed the option in LW. If you don't want it to appear in iTunes at all, go to LW's menu bar, Tools>Options>iTunes>Sharing & untick all options for sharing. This might not have immediate effect until you relaunch LW.

eg: of 1st suggestion of changed iTunes location. I have my iTunes library on an external drive, but if the external drive isn't connected then the iTunes library defaults back to my computer. Before moving my iTunes library off the computer I had it on a different partition (internal drive) to the default. As a result, in iTunes music folder there are 3 xml library files listed (library preferences) 1. The default location.
2. The 2nd drive. 3. The external drive.

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It's a Bonjour (Rendezvous) anomaly. Under certain conditions it (Bonjour) doesn't recognize that all three entries (in this specific case) are the same. There isn't much you can do... Quit LimeWire and iTunes, wait a few minutes and launch them again or restart your computer...