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I have done the work on his agreement.

This sounds good to me, but I am not sure. Online dictionaries didn't helped me much.

Thank you.

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The idiomatic way to say this is as you said:

I have done work on his agreement.

You could also say:

I have done work with his agreement.

This isn't wrong, but it is also not as commonly said. The meaning changes subtly. It makes you think of the agreement as some sort of shared project of which others participate. When in doubt, you should use "on" rather than "with" here.

I have done work for his agreement.

This too isn't wrong, but it is slightly less idiomatic. Again the meaning changes subtly. You're saying you dedicated time towards his agreement. So the emphasis here is that you've dedicated time/effort, whereas with "on", it is more matter-of-fact. And again, when in doubt, you should use "on" here.

On the other hand, you would not use "in", because it isn't a place or container of some sort. If you have any questions on any other prepositions, please let me know in the comments and I'll try to elaborate.

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Using "On" proposition is correct in your example because before that "Verb" used and action and something happened.

The prepositions we can use with "agreement" according to the Oxford Collocations Dictionary:

  • List item

in an/the agreement e.g a clause in the agreement

under an/the agreement e.g Under the agreement, the farmer is not allowed to use this field.

agreement between e.g an agreement between the company and the unions

agreement on e.g They signed two agreements on improving economic cooperation.

agreement with e.g a trade agreement with China

by e.g The separation is by mutual agreement.

In e.g I think we are all in agreement that prices should be kept low.

In agreement with e.g, I am in agreement with you that she should be given more responsibilities.

With agreement e.g, With the agreement of all members of the club, we decided to organize a trip.

agreement among e.g, There is agreement among teachers that changes need to be made.

agreement between e.g, As yet there is no agreement between the two sides.

agreement on e.g, As yet there is no agreement on policies.

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