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The phrase "upon the idea of" is grammatically correct and can be used in written English.
It is typically used to introduce a concept or topic that will be discussed in more detail. Here is an example: Upon the idea of environmental sustainability, the company implemented various eco-friendly practices such as reducing their carbon footprint and using renewable energy sources.
Exact(60)
But I struck upon the idea of a different package.
He hit upon the idea of endnotes to shorten it.
How does he come upon the idea of Satyagraha?
The proposed approach is predicated upon the idea of integrating supervisory and feedback control over networks.
After many meetings, we hit upon the idea of writing it as a comic opera.
"We hit upon the idea of writing it as a comic opera.
Then it begins to smell so they hit upon the idea of dynamiting it.
Denver Coach Mike Shanahan stumbled upon the idea of extra work.
Pullman hit upon the idea of shooting his stepfather's ashes into the sky with fireworks.
They hit upon the idea of a site that would help users exchange video files.
While in China, Lundgren hit upon the idea of selling "restore discs" to computer refurbishers.
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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