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By default it should remember the state of the last window you closed. You can also fix a specific state so that is always used from then on (including window state, folder tab(s) open, and so on) via Settings > Set As Default Lister.
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Always re-use a single window instead of opening new windows
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Not sure what you mean, sorry. Could you start a separate thread with more detail of what you need to do? (Please Ask one question per thread .)