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The phrase "a substantially higher penetration" is correct and usable in written English.
It can be used in contexts discussing market research, technology adoption, or any scenario where a comparison of levels or degrees is relevant.
Example: "The new marketing strategy resulted in a substantially higher penetration of our product in the target demographic."
Alternatives: "a significantly greater reach" or "a markedly increased uptake".
Exact(1)
However, tests in the edge clamped condition resulted in a substantially higher penetration resistance, especially for the higher tensile strength fiber-reinforced material.
Similar(57)
Or a substantially higher fine for littering.
Natives experience a substantially higher employment status persistence than immigrants.
The uninsured have a substantially higher probability of dying (about 42% higher, compared to the insured).
The overall results showed that their proposed method attained a substantially higher degree of efficacy.
In all horizons, AC, compared to WDC, has a substantially higher specific surface.
This is a substantially higher than our estimation of 280 patients.
Fifty percent were responded to -- a substantially higher rate than I'd ever experienced.
Thus, they had a substantially higher power than this cohort.
Several genes exhibit a substantially higher level of allelic diversity.
Information communication technologies have a higher penetration rate in urban areas, offering all kinds of opportunities and risks for development processes and programmes.
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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