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The phrase "are notably influenced" is correct and usable in written English.
It can be used when discussing the impact or effect that something has on a subject or group, often in a formal or academic context.
Example: "The results of the study indicate that the participants are notably influenced by their cultural backgrounds."
Alternatives: "are significantly affected" or "are greatly shaped".
Exact(2)
Furthermore they are notably influenced by production planning, heat exchanger surfaces and heat supply management.
Results indicated that the heat transfer characteristics are notably influenced by Brownian motion and thermophoresis.
Similar(58)
However, the intermediates mineralization is notably influenced by the catalyst load.
It also describes the concentrations of other metals judged to be unlikely to be notably influenced by past industrial activity at the site.
Surface roughness has different effects in RDS motilities with different particle sizes during rainfall runoff, and the settleable particles (44 149 μm) were notably influenced by it.
Based on the regression coefficients of the obtained models, the CO2 permeance was notably influenced by PEG-ran-PPG, while CuBTC has the most significant effect on the CO2/CH4 ideal selectivity.
We stress the value of (V_{i,t}) could be notably influenced by the competitor's decisions.
For our purposes, the relevant point to emphasize is that the biodegradation of paintings can be notably influenced in both the extent and the specificity of the biological attack by the nature of the pigment.
Cage often wrote about his avant-garde ideas about sound, most notably in his book Silence, which is notably influenced by Zen principles and ideals.
Also, our study design was notably influenced by programmatic resource constraints and priorities.
As macroecological sampling would affect which species are found in Europe, the climatic niche characteristics of the assemblage might be notably influenced.
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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