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The phrase "the flux of" is correct and usable in written English.
It can be used in contexts discussing change, flow, or movement, often in scientific or philosophical discussions.
Example: "The flux of energy in the system is crucial for understanding its dynamics."
Alternatives: "the flow of" or "the movement of".
Exact(59)
You see it's quite foreclosed the flux of me.
In this there's a lesson about the flux of consciousness.
The effect is snatched after all from the flux of existence.
I write about buildings because I find the flux of urban life aesthetically appealing.
Demy uses his exquisite camera movements to follow the flux of characters who burst with ardor.
It subsumes Chekhov's melodramatic elements into the flux of daily life.
It is a way of trying to bring some order to the flux of experience.
That can happen in the flux of a match – adversity inspires.
" 'Comandante' was caught up in the flux of events of that time.
Under normal conditions, GABA-A inhibits the firing of brain cells by regulating the flux of chloride ions in them.
The stage is often static and tableau-like when it should be suggesting the flux of history and human loyalty.
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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