Allow verb - To give permission for or to approve of.
Usage example: flash photography is not allowed inside the church
Admit is a synonym for allow in think topic. In some cases you can use "Admit" instead a verb "Allow", when it comes to topics like acknowledge, acknowledgement, permit, accept. popular alternative
Admit verb - To accept the truth or existence of (something) usually reluctantly.
Usage example: you can't bring yourself to admit your mistakes
Allow is a synonym for admit in think topic. You can use "Allow" instead a verb "Admit", if it concerns topics such as concede, permit, accept, concur. popular alternative
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Google Ngram Viewer shows how "allow" and "admit" have occurred on timeline