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The phrase "a much higher impact" is correct and usable in written English.
It can be used when comparing the effects or consequences of different actions, events, or situations, emphasizing a significant difference in impact.
Example: "The new policy will have a much higher impact on employee productivity than the previous one."
Alternatives: "a significantly greater effect" or "a far more substantial influence."
Exact(26)
Market reforms had a much higher impact through price incentives on land allocation.
The chancellor said the analysis would show that a no-deal exit would have a much higher impact on the economy than the deal the two sides have negotiated.
Loss of kill would have a much higher impact if the energetic cost per kill was high, such as in long endurance hunts of larger prey where many dogs invest substantial energy expenditure in one kill.
On June 22, the indictment stated, WikiLeaks sent a private message to Guccifer 2.0 asking to have access to the material, saying "it will have a much higher impact" on its site.
This kind of microstructure leads to a much higher impact toughness, 32 J/cm2, in comparison with the value, i.e., no more than 20 J/cm2, of the conventional quenching and tempering (Q T) treatment at the same hardness level.
In looking at mortality we talk much these days of the malign impact of smoking and obesity – the two modern-day killers – but mental health problems have the same effect on life expectancy as smoking and a much higher impact than obesity.
Similar(34)
In applications such as spray cooling, where the objective is to produce thin liquid films on a heated surface, it is desirable to achieve much higher impact velocities and We well in excess of 3000.
However, changing a component of the nucleotide substitution model had much higher impact on the model likelihood.
"If the CIA wants to kill some people and attribute that to the elements of the government, then choosing a girl would be something good for them because it would have much higher impact.
Exercise was as friendly to the knees of joggers as walkers, even though jogging subjects the lower body to much higher impact and stress than walking.
There are multiple ways to create customer value but the one powered by core technology breakthrough tends to have much higher impact and reward.
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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