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"by widening" is correct and usable in written English.
It is a prepositional phrase that can be used to indicate the means or method by which something is done or achieved. Example: The government plans to reduce traffic congestion on the highway by widening the lanes. In this sentence, "by widening" shows the method by which the government plans to achieve their goal of reducing traffic congestion.
Exact(60)
Nor are financial crises always preceded by widening income gaps.
(The administration proposes to remedy that by widening broadband access).
A mature democracy thrives by widening access to higher education.
The prevailing view has been that soggy median wages can be explained by widening income inequality.
Hunters responded by widening their range of food and collecting quantities of marine shellfish.
Views would be improved by widening the area overlooking the harbor next to Jefferson Street.
They expand higher education by widening access, which will improve the world in many ways.
Appeasement, whether by widening an avenue or shortening a wheelbase, is foredoomed to failure.
By widening freedoms of expression, moreover, he inadvertently encouraged radicals to denounce Communism, despite his reforms.
They were helped more by widening margins than they were hurt by rising bankruptcies.
But does this mean that by widening internet access, elderly people will feel more socially connected?
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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