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The phrase "allowed to solve" is correct and usable in written English.
It can be used when discussing permissions or capabilities regarding problem-solving or tasks.
Example: "Students are allowed to solve the math problems in groups during the exam."
Alternatives: "permitted to resolve" or "authorized to tackle".
Exact(18)
It's time people are allowed to solve them.
[Excerpts, Page A12.] In essence, Mr. Bush was arguing that the market should be allowed to solve the problem, with the United States pushing along research "consistent with the long-term goal of stabilizing greenhouse gas concentrations in the atmosphere".
Rouhani will not be allowed to solve the nuclear issue.
All participants were allowed to solve each task question in maximum five minutes.
The hybrid method presented herein allowed to solve instances with up to six AGVs.
Sliding mesh feature of CFX allowed to solve the motion of the moving blades.
Similar(41)
A further condition is given by (12), allowing to solve the system of equations (13).
However, a collection of multiple measurements over time would allow to solve this unambiguity.
This allows to solve the problem with computationally efficient numerical algorithms.
This allows to solve optimal auction problems when classical solution techniques fail.
The approach allows to solve for different formation specifications in a decoupled manner.
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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