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The phrase "able to solve their" is correct and usable in written English.
It can be used when discussing someone's capability to address or resolve issues or problems that belong to them or are associated with them.
Example: "The team is confident that they are able to solve their technical challenges with the new software."
Alternatives: "capable of resolving their" or "competent in addressing their".
Exact(19)
"If they had a strong government like we have in Turkey," he said, "they would be able to solve their problems".
Mr. Miller also said he was wary that giant companies like Lucent or Xerox would be able to solve their problems by cutting costs.
Ultimately, you may not be able to solve their problem or change their circumstances, but you can make them leave your office a little less worried and with the feeling that there is help available.
If foreign aid can lift them out of the poverty trap long enough to free them from the disease, ignorance and debt that thwart their potential, then pretty soon they will be able to solve their own problems for themselves.
Homeowners who do not want do any digging in their basement -- perhaps because they have wood or tile flooring in place -- may be able to solve their problems with a floor-mounted system.
Until now, the banks have been nervous about closing branches and losing market share, yet at the same time, they have not been able to solve their problems by merging with one another.
Similar(38)
Men might be able to solve all their problems with a little blue pill, but for women, as always, things are a bit more complicated.
"The four pillars of media conventional wisdom have not changed: First, growth at all costs; second, content is king; third, the answer to all problems is to expand globally; and finally, that by embracing convergence and the Internet, they will be able to solve all their problems," Mr. Knee said.
This is something Michael Dubin and his business partner identified as a problem, and with their sound strategy, they've been able to solve it with their subscription service Dollar Shave Club.
"Sandra is very much a federalist, which is saying the states should be able to solve more of their problems and the federal government should stick their nose in as little as possible.
In all stages problems can arise and have to be considered, which scientific evaluators may be better able to solve because of their technical competence and objectivity as well as their familiarity with planning and designing studies.
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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