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The phrase "agreeing on a solution" is correct and usable in written English
It can be used when discussing the process of reaching a consensus or mutual understanding regarding a particular issue or problem. Example: "After several hours of discussion, we finally reached a point of agreeing on a solution that satisfied everyone involved."
Exact(2)
Talked your co-workers into agreeing on a solution to a client problem.
Of course, small business applauded Congress for agreeing on a solution to reopen government and avoid a default.
Similar(58)
The European Union and the United States agreed on a temporary solution of their dispute over music copyright.
Because of antitrust concerns, the companies that create cable programming are reluctant to come together and agree on a solution.
When its people recognise a challenge and agree on a solution, they often act quickly and in unison.
But getting the range of executives, lawmakers and regulators to agree on a solution was another matter altogether.
Despite broad bipartisan support for the beneficiaries of the program, Congress has failed to agree on a solution.
Whether we can agree on a solution or not is another question but at least they acknowledge something is going on and that's a great first step".
But unlike many other global issues, where business and the environmental community are often at odds, here we completely agree on a solution.
He added, "I regret that the companies were not able to agree on a solution that would have met the commission's competition concerns"...
Governments and central banks tried for years to find a way to extend its life, but they could not agree on a solution.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com