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"state the problem" is a correct and usable phrase in written English.
You can use it when introducing an issue or problem that needs to be addressed. For example, "We must now state the problem and come up with a suitable solution."
Exact(60)
State the problem quickly.
State the problem, tactfully and clearly.
Please state the problem for which you would like help.
You state, "The problem can be controlled, but only if everyone commits to recycling".
Research Topic: State the problem to be studied or the topic of interest.
"However, in its current state the problem of the transfer is that the cost has yet to be agreed on".
But by 2016 she had been secretary of state; the problem wasn't, can a woman do the job?
Rainfall hasn't traditionally been a problem in the Pacific island state; the problem has been capturing it.
The abstract should state the problem, describe the methods and procedures used, and give the main results or conclusions.
The student should state the problem, any specific hypotheses, and the general experimental approach that will be used.
Scientists must state the problem and explain how they will approach it experimentally, giving a relatively narrow view of what will be accomplished and predicting success.
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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