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The phrase "a solution is reached" is correct and usable in written English.
It can be used in contexts where a resolution or answer to a problem has been achieved.
Example: "After several hours of discussion, a solution is reached that satisfies all parties involved."
Alternatives: "a resolution is found" or "an answer is obtained."
Exact(11)
Bernanke said it was "exceptionally important and urgent" that a solution is reached.
He added, "We should slowly but methodically fund such research until a solution is reached.
"Somehow or someway we should slowly but methodically fund such research until a solution is reached.
Greek bonds, and those of other countries with high deficits, such as Spain and Portugal, are also expected to rally if a solution is reached.
Europe's economic problems won't be solved until the banks - and their regulators - accept that they need more capital and a solution is reached about the structure of the European Union.
Cash only will be accepted until a solution is reached.
Similar(49)
Sometimes, the first step on the path to a solution is reaching out for help.
Can a solution be reached?
A solution was reached, although it was not entirely satisfactory.
Ms. Willis said "it was worth the wait" because a solution was reached that benefits the towns of Torrington and Litchfield.
Should a matter that serious, the Rogers commission surely will want to know, have caused NASA officials to hold up shuttle flights until a solution was reached?
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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