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"To solve" is a correct and usable phrase in written English.
It is commonly used as the start of a sentence, to introduce a problem or situation that needs to be resolved. Example: To solve the issue of pollution, the government has implemented stricter environmental regulations.
Dictionary
To solve
verb
To find an answer or solution to a problem or question; to work out.
Exact(60)
To solve a problem.
To solve that, he called Mr. Charman.
To solve Eqs.
They want to solve problems.
We want to solve it".
The ability to solve problems.
"I'm going to solve this.
We're going to solve it".
We try to solve quarrels.
There's no problem to solve.
How to solve it?
More suggestions(3)
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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