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The phrase "able to solve this" is correct and usable in written English.
You can use it when discussing someone's capability or capacity to find a solution to a problem or challenge.
Example: "With her extensive experience in mathematics, she is certainly able to solve this complex equation."
Alternatives: "capable of resolving this" or "competent to address this".
Exact(56)
Mobile software should be able to solve this problem beautifully.
Mr. Goodenow, Mr. Bettman and Mr. Gretzky will be able to solve this dilemma".
Neither party has been able to solve this problem, so our expectations should be very modest.
We are thankful that we were able to solve this case so quickly".
"So this is extremely discouraging news that the Congress has not been able to solve this problem".
Edison thought he would be able to solve this by fashioning a microtasimeter-like device to control the current.
It is possible that Microsoft will be able to solve this problem with future iterations of Windows 8.
Mr. Hurley hopes to be able to solve this concern by offering studios a share of ad revenue as it has for Warner Music.
Similar(3)
But finding short-term solutions may be easier than finding long-term ones: Wall Street financial analysts and Mr. McGreevey's budget advisers say there is a reasonable chance he may be able to solve this year's problem without having to resort to any of those measures.
No amount of money will be able to solve the problem with this kind of spending.
"No single study is able to solve a controversy of this magnitude," Dr. Leitzmann said, but he recommended that anyone overweight "should be looking to lose weight".
More suggestions(15)
impossible to solve this
able to settle this
able to dissolve this
able to lay this
ready to solve this
able to tackle this
possible to solve this
able to fix this
able to overcome this
able to address this
used to solve this
enable to solve this
skills to solve this
ability to solve this
able to corroborate this
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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