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'solution by' is correct and usable in written English.
It is typically used when referring to a solution to a problem that has been proposed by a particular individual or group. For example: "The Secretary of State proposed a solution to the housing crisis, which was accepted by the majority of lawmakers: a solution by the government to fund public housing."
Exact(60)
THE DELTA SOLUTION, by Patrick Robinson.
We have to find a solution by talking.
It's not an ideal solution by any means.
AFRIpads found a new solution by going back to basics.
Anyone, anywhere can submit a solution by July 1.
The solution by Watanabe [Watanabe, S., 1996.
They found their solution by experiment and subjective judgment.
Perhaps the innovative solution by a Tokyo restaurant should be considered in New York.
It is certainly not better than a compromise solution by the parties".
Slowly a Final Solution by emigration shifted towards solutions by expulsion.
Finding the meaning of life through God. 3 5 THE ULTIMATE WEIGHT SOLUTION, by Phil McGraw.
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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