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The phrase "agreed on a statement" is correct and usable in written English.
It can be used when indicating that a group of people has come to a consensus regarding a particular statement or idea.
Example: "After much discussion, we all agreed on a statement that reflects our shared values."
Alternatives: "reached a consensus on a statement" or "came to an agreement on a statement."
Exact(5)
After hours of negotiations, leaders agreed on a statement calling for "an early resolution of this problem, including the release of the 15 personnel".
He and I agreed on a statement that, by mutual consent of the poet and the English department, his reading would not take place.
UNITED NATIONS -- Key Security Council members have agreed on a statement, presented to the council on Thursday, that condemns the sinking of a South Korean warship that left 46 sailors dead, but avoids singling out North Korea for the attack.
Participants agreed on a statement pointing out the disruption caused by fossil fuel use and calling for cooperative, collective action to curb greenhouse gas emissions.
over apartheid". The communique issued by the association of Britain and its former colonies came two days after the heads of government agreed on a statement of policy toward South Africa.
Similar(55)
The United Nations, at its core, has this value (think of the Universal Declaration of Human Rights, passed in 1948, which was motivated by the experiences of the preceding world wars; it was the first time that countries agreed on a comprehensive statement of inalienable human rights).
On this basis we will agree on a statement".
This week the Security Council could not even agree on a statement criticising the verdict on Miss Suu Kyi.
But they recessed Aug. 7 because the parties could not agree on a statement of principles.
The waste is so crushing that the Quartet, meeting this week in Washington, was unable even to agree on a statement.
China insisted that the United States, Japan and South Korea agree on a statement before a second round of talks with North Korea.
More suggestions(17)
agreed on a lot
agreed on a base
agreed on a bonus
agreed on a colour
agreed on a contract
agreed on a business-investment
agreed on a treatment
agreed on a month
agreed on a strategy
agreed on a draft
agreed on a cover
agreed on a deal
agreed on a unity
agreed on a date
agreed on a plan
agreed on a target
agreed on a framework
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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