[O] window splitting and preserving folded states

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Critical to what I do is splitting the buffer into two windows: however, very, 
often, I need to fold the headline in one of the windows in order to (more 
efficiently) search for vital information elsewhere in the same buffer. When I 
do this, the headline is folded in both windows. 

How can I fold this headline in one window and keep it open in the other? Is 
that possible?

I am completely inebriated right now, so apologies for incoherence.

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