Quiet private demonstrated (5)

I believe the answer is:

shown

'demonstrated' is the definition.
(thesaurus)

'quiet private' is the wordplay.
'quiet' becomes 'sh'.
'private' becomes 'own' (I've seen this before).
'sh'+'own'='SHOWN'

(Other definitions for shown that I've seen before include "Explained" , "Displayed" , "Demonstrated" , "Exhibited" .)

I've seen this clue in The Times.

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