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The phrase "a broad impact on" is correct and usable in written English.
It can be used when discussing the significant effects or influence that something has on a particular subject or area.
Example: "The new policy is expected to have a broad impact on the local economy, affecting businesses and residents alike."
Alternatives: "a wide-ranging effect on" or "a significant influence on".
Exact(58)
For now, the problems at Freddie Mac have not had a broad impact on financial markets or the housing market, one of the few strong sectors in a struggling United States economy.
"He liked the idea of being able to have a broad impact on organizations," said Peter Costello, a communications professor at Adelphi and one of his six children.
She had one goal in mind: to use the law to have a broad impact on equal opportunities in the workplace.
It could have a broad impact on the government's investigations abroad, particularly in terrorism cases.
If the technology spread to all of them in a cost-effective way, many say, it could have a broad impact on the coal industry.
"You face the uncertainty about a war with Iraq, with all the implications that holds for energy prices and a broad impact on the economy.
The show cites the school as an example of "culture as catalyst": the institution's arts-based curriculum has had a broad impact on the neighborhood.
To have a broad impact on crops, then, it isn't enough to improve only maize — that would be culturally unacceptable in countries that depend on cassava.
To the Editor: The adoption by M.I.T. and other universities of better ways of teaching physics could have a broad impact on science teaching in high schools.
Lahiri was the recipient of this year's "BoBi" award, given to an author whose work has had a broad impact on literature.
He added that decisions with such a broad impact on the nation's economy and energy future should be made by elected representatives, not bureaucrats.
More suggestions(18)
a major impact on
a substantial impact on
a widespread impact on
a broad effect on
a massive impact on
a diverse impact on
a great impact on
a wider impact on
a wide reaching impact on
a broader impact on
a broad literature on
a broad face on
a huge impact on
a broad challenge on
a broad patent on
a broad view on
a broad comment on
a lasting impact on
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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