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The phrase "to determining a" is correct and usable in written English
You can use this phrase as part of an infinitive to express the purpose of a certain action. For example, "The study was conducted in order to determining a solution to the problem."
Exact(38)
We had found the key to determining a good workplace: ask the people who work there.
Height is not the be-all and end-all when it comes to determining a tree's bigness.
E-mail files are relevant to determining a conflict of interest between a firm's stock analysts and its investment banking unit.
This problem amounts to determining a number, the remainders of which are known when it is divided by given numbers (called moduli).
The irony, of course, is that the more data we mine, and the closer we come to determining a precise calculus of sharing, the less likely it will be for what we know to remain true.
But Flintoff will see a specialist in London after this game with a view to determining a long-term strategy for his knee, which is expected to include surgery next week.
Similar(22)
Detectives are trying to determine a motive.
Four rounds is enough to determine a champion.
It took Oregon nine days to determine a winner.
-What information is needed to determine a fuel fraction?
Academies have freedom to determine a different school day.
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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