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"distribute throughout" is correct and usable in written English.
It can be used when you want to describe the process of distributing something across an area or multiple areas. For example: They distributed the flyers throughout the city, ensuring everyone had a chance to see them.
Exact(43)
Vaccine manufacturers face a constant race to create and churn out enough doses to distribute throughout the country ahead of the annual flu season.
Opponents say that the larger New Jersey ports receive goods to distribute throughout the United States, making it impractical to funnel them directly to Red Hook.
And they say that a company based in Dubai has shown interest in buying 1.5 million cartons of Legal cigarettes a month to distribute throughout the Middle East.
The entrepreneurs, engineers and scientists of this country would be called upon to unleash the creative genius of American ingenuity to develop new products and technologies that we can distribute throughout the world.
As well as the food parcels in A&E, a primary aim is to collect food in the hospital to distribute throughout the area and raise the level of nutrition across Tameside.
The opaque spherules distribute throughout the PTS (Figure 1c), indicating total melting.
Similar(17)
All are widely distributed throughout Europe, Asia, and North America.
The genus is primarily distributed throughout the Northern Hemisphere.
Scores of other towns are distributed throughout the province.
The members are distributed throughout all the continents except Antarctica.
Cattle (mainly zebu) are distributed throughout the island.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com