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The phrase "a much larger influence" is correct and usable in written English.
It can be used when comparing the extent or impact of one thing over another, indicating that the influence being discussed is significantly greater.
Example: "The new policy had a much larger influence on employee productivity than the previous one."
Alternatives: "a significantly greater impact" or "a far more substantial effect".
Exact(12)
But in my mind, automotive letterforms, rock music and motion-picture imagery had a much larger influence.
Alternatively, we may say that some given percentage increase in the rate of growth of the labour force will have a much larger influence on the rate of growth of output than the same percentage increase in the rate of growth of capital.
Likewise, correlations between childhood obesity and practices such as infant birth by cesarean section, which has risen substantially in incidence worldwide, indicate that environment and behaviour may have a much larger influence on the early onset of obesity than previously thought.
The results showed that hydrostatic pressure had a much larger influence than shear pre-strain.
It is shown that the measurement error has a much larger influence on the quality of estimate than the model error.
It was observed at room temperature that below 50 wt% PTFE content, cross-linking the FKM can have a much larger influence on the tensile modulus than changing the PTFE content.
Similar(48)
Numerical examples indicate that the conditional junction coupling has much larger influence on the frequencies of a liquid-filled pipe system than the Poisson coupling does.
For instance, Mr. Paz Soldán said that the Constitution recognized 36 different indigenous groups in Bolivia, some with fewer than 100 people, but that it was unclear how precisely each group would be enfranchised in a country where three main indigenous groups — the Quechua, Aymara and Guaraní — wield much larger influence.
However, manufacturing tolerances, material properties and design show much larger influence to the process than in macro scale.
A second order disruption has much larger influences, affecting many industries and substantially changing societal norms and institutions.
That's a much larger genetic influence, or heritability, than is seen in many other behavioral disorders, such as alcoholism and schizophrenia.
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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