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What on earth can he hold?

This sequence was polled recently (IMP scoring, 20 VP).

 

W
N
E
S
P
5
X
XX
P
P
5
?

 

I have no idea at all what someone who doubles 5 and removes it when redoubled to 5 can possibly hold.  Does anyone have any ideas?

 

For those interested, a link to the original problem follows.

 

https://bridgewinners.com/article/view/bidding-problem-2-8ezx7rymhd/

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