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The phrase "the core idea of" is correct and usable in written English
It can be used when discussing the main or fundamental concept of a topic, argument, or piece of work. Example: "The core idea of the presentation was to highlight the importance of sustainability in modern business practices."
Exact(60)
The core idea of this is to maximise customer value while minimising waste.
"Rest assured that whatever the modifications, the core idea of each plan will be preserved.
The core idea of P2PU is putting people together around these open courses".
It all sounds like a lot of work, which seems antithetical to the core idea of watching television.
That's the core idea of the site," said writer and professor Clay Shirky, who studies social networks.
And while the core idea of this agreement is a good one, the execution plainly is not.
It has to do with the core idea of the opera: Saariaho's experience of the pain and beauty of birth.
They sign up to the core idea of consumer freedom and individuality, but in reality they are deeply tribal, in their tastes, clothes and behaviours.
But not, perhaps, enough The core idea of co-operatives is that the people involved in a business are the best people to guide and own it.
The visitor gets to grasp the core idea of special relativity -- that time and space are not absolutes but change with the viewpoint of the observer.
"The core idea of Notting Hill, their mission, was to provide homes for low-income Londoners and that's still our mission.
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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