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The phrase "these influenced" is correct and usable in written English.
It can be used when referring to specific factors or elements that have had an impact on something else. Example: "The studies conducted over the years show how these influenced the development of modern technology."
Exact(30)
How far these influenced his contemporaries has been fruitlessly debated.
Which, among these, influenced fracture incidence?
These influenced the drug properties in which amorphization of drug increased solubility and decreased partition coefficient.
The theoretical and methodological underpinnings of programs are also relevant, as these influenced the nature of the client relationship and program focus.
We were able to capture their understanding of the exercises' learning effects and how these influenced them in their daily work.
Particular attention was given to the interaction of SO2 with the catalyst components and how these influenced the NOx release and reduction stages.
Similar(30)
These influences the Russians are resolved to exterminate.
Our cities are plastered with images of faces — do these influence our behavior?
These influences weighed heavily in her most ambitious work, the epic "Tahl" (1945).
Dravidian languages maintain these influences even today.
These influences only hold for second stage students.
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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