As buteman and QuizMan have said - Everyone has two iexplore.exe showing in Taskmanager I just opened IE, with one page open, to check mine and there they both are. So then I opened an new tab so I had two pages open, and now I have three iexplore.exe showing in Processes.
Yes if you stop 1 it also stops the other. As long as it does not show it using up the CPU just leave them. Using windows 7 I have 1 at 6ooo and the other at 20000 but as they don't use the cpu unless you change pages they do no harm where they are. And like you say you can't move them without doing any damage to the computer.
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