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The phrase "efficiency with which" is a perfectly valid part of a sentence in written English.
You can use this phrase to indicate how quickly or effectively something is done. For example, "The efficiency with which he completed the task was remarkable."
Exact(59)
The efficiency with which you use resources matters".
Hence the grim efficiency with which the city responded.
The formal and semiotic efficiency with which Mr. Martinez puts such ideas into play is impressive.
As emotional browbeating goes, nothing beats the efficiency with which the movies can stir up fear.
And she relishes the efficiency with which decisions have to be made.
This flexibility can actually improve the efficiency with which an antigen binds to the antibody.
The answer is by improving the efficiency with which water is used.
Breeding or genetic modification could increase the efficiency with which animals and plants take up nitrogen.
Nigerian peacekeepers are known for the efficiency with which they loot liberated locales.
But many economists fret about the efficiency with which the money will be distributed.
And once you're properly tooled up, the speed, the efficiency with which she goes to work is simply awe-inspiring.
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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