Corrects what William and Graham have in common (6)

I believe the answer is:

amends

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'corrects' is the definition.
(amending is a kind of correcting)

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for amends that I've seen before include "Make these to make up for past wrongs" , "Make these to right wrong" , "Compensation" , "Make them to compensate" , "Makes minor improvements" .)

I've seen this clue in The Guardian.

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