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The phrase "preliminarily solved" is grammatically correct and can be used in written English
It is often used when describing a problem or situation that has been partially or temporarily resolved, with further steps or solutions still needed to fully address the issue. Example: The team has preliminarily solved the issue with the new software, but further testing is required before it can be implemented company-wide.
Exact(1)
This paper has preliminarily solved the problem of how to produce good initial estimates of parameters automatically by a program design in the data processing of EIS.
Similar(59)
In this paper, we just give a preliminarily practice for deep learning hashing based mobile visual search, several major issues remain open to be solved in the future.
Problem solved.
Plainness solved.
Mystery solved.
"But you solved it".
"People want problems solved.
Mars mystery solved?
Problem solved?Not quite.
There – problem solved!
Childish problem solved.
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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