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The phrase "weakly influence" is correct and usable in written English.
It can be used in contexts where you want to describe a minor or limited effect that one thing has on another. Example: "The new policy may weakly influence employee productivity, but its impact is likely to be minimal."
Exact(8)
However, in contrast to crossflow filtration of monodispersed suspensions, the shear rate was found to only weakly influence specific flux.
The solvation of M+-18C6 itself was reported to weakly influence the energetics of the exchange reaction [9].
In general, it might be concluded that any anomaly smaller than Ψ= 60° might only weakly influence the core convection.
Main chain dependent aspects like average volume per CH2 unit and interfacial constraints do only weakly influence the relaxation behavior within the alkyl nanodomains.
Finally, the value of the aerodynamic roughness length is found to only weakly influence the performance of the inflow methods considered.
As our focus was on the secondary losses and the resulting evolutionary flexibility, this should only weakly influence our predictions.
Similar(52)
These are no longer exactly deeds, good or bad, they are the extensions of deeds in time, or what the commission's study calls, very weakly, "influences".
Henne et al. (2010) classified CMN as a "weakly influenced, constant deposition" site.
However, the linkage of PFPE chains weakly influenced the electrical properties of conductive MWCNTs.
The tilt angle decreases with the pool diameter but weakly influenced by h0.
The current gain was very stable over a wide IC range, and weakly influenced by the environmental temperature.
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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