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The phrase "so determines" is correct and usable in written English.
It can be used in contexts where a conclusion or decision is being drawn based on certain criteria or evidence.
Example: "The evidence presented in the case is compelling, and so determines the outcome of the trial."
Alternatives: "thus decides" or "therefore establishes".
Exact(11)
However, someone (i.e. an external cause) fashions the bronze into one of these options and so determines the present form of the bronze.
The Public-Private Investment Fund, if the fund manager so determines, would also be eligible to take advantage of the expanded TALF program for legacy securities when it is launched.
In particular, recently accessed objects that are no longer pivots, which with LRU would likely be kept, are only kept by SACS if their distance to a pivot and their frequency so determines.
The latency distribution of bumps sets the ultimate speed limit for photoreceptor signaling and so determines the signal bandwidth.
It is evident that the endothelium is a critical gatekeeper that controls the recruitment of distinct leukocyte subpopulations and, in doing so, determines the nature and extent of acute and chronic inflammation.
We conclude that the RNA sequence modulates the cooperativity and so determines the localization of U2A′.
Similar(46)
He looked so determined.
They are so, so, so determined.
I saw my people so determined".
"She was so determined," he said.
"He is so determined, you know".
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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