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The phrase "solution must be" is correct and usable in written English.
It can be used when stating a requirement or condition that a solution needs to meet. Example: "For this problem to be resolved effectively, the solution must be both efficient and sustainable."
Exact(60)
A solution must be found.
Another solution must be found.
So a peaceful and political solution must be found".
"The solution must be taken now," Mr. Paterson said.
But, in practice, any solution must be blessed in Berlin.
A political solution must be an African one, they say.
Saying that a solution must be balanced, Mr. Danforth said the resolution was "wholly one-sided".
Any solution must be found on an industry-wide basis," Agius said.
And therefore, the only solution must be to turn it off.
"Yet that is the truth upon which any so-called solution must be based".
In the Middle East, everyone knows what the solution must be: land for peace.
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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