concealment
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to make no secret of something
Not to hide one's opinion, intention, or certain knowledge, but instead to admit it openly or show it clearly. The word 'Hehl' is used almost exclusively in this fixed expression.
Er machte keinen Hehl daraus, dass er mit der Entscheidung unzufrieden war.
He made no secret of the fact that he was unhappy with the decision.
The noun 'Hehl' essentially exists today only in the fixed expression 'keinen Hehl aus etwas machen' (to make no secret of something). You cannot use the word on its own or in other contexts.
Die Chefin machte keinen Hehl aus ihrer Enttäuschung über das Ergebnis.
The boss made no secret of her disappointment with the result.
The expression is often combined with the preposition 'daraus' and a 'dass' clause. The structure is: [person] + macht keinen Hehl daraus, dass ... (makes no secret of the fact that ...).
Er machte keinen Hehl daraus, dass er den neuen Kollegen nicht mochte.
He made no secret of the fact that he did not like the new colleague.
The idiom 'keinen Hehl aus etwas machen' (to make no secret of something) belongs to an elevated, rather formal style. It is often found in written language, such as in newspapers or books.
Der Politiker machte in seiner Rede keinen Hehl aus seinen Ambitionen auf das Kanzleramt.
In his speech, the politician made no secret of his ambitions for the chancellorship.
secret
'das Geheimnis' and 'der Hehl' both have to do with hiding or not hiding something. 'Geheimnis' is a piece of information that not everyone is supposed to know. You can have, tell, or keep a secret. 'Hehl' is used almost only in the fixed expression 'keinen Hehl aus etwas machen' (to make no secret of something). It means that you do not hide your opinion, intention, or knowledge. Learners may confuse the words because both belong to the topic of hiding. The important point is: 'Hehl' is not a normal word for a secret piece of information. For the information itself, you say 'Geheimnis'.
Ich mache keinen Hehl daraus, dass ich mit der Entscheidung unzufrieden bin.
I make no secret of the fact that I am unhappy with the decision.
Hannah erzählt ihr Geheimnis nur ihrer besten Freundin.
Hannah tells her secret only to her best friend.