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Discover LudwigThe part of the sentence 'this problem remains' is correct and is usable in written English.
You can use it when you want to state that a problem or situation has not been solved or changed. For example: "This problem remains unresolved after weeks of debate."
Exact(38)
No doubt this problem remains.
This problem remains open for n≥5.
But the depth of this problem remains an open question.
However, relying solely on GO, this problem remains unsolved.
How transport planners get round this problem remains to be seen.
This problem remains distinctively for the hypersonic viscous and heat conducting flow.
Similar(22)
Despite many interesting contributions to the literature on this, the problem remains unresolved.
This guarantees that the problem remains feasible as otherwise conflicting constraints could reduce the feasible set for x to the empty set.
Although some attempts have been made by compositional methods to address this task [ 47- 49], the problem remains unresolved.
Still, the problem remains.
But the problem remains pervasive.
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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