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Sentence The phrase "the intersection between" is correct and can be used in written English
You can use it when you want to describe a point of overlap between two different ideas, things, or groups. For example: "The intersection between science and art is an intriguing subject to explore."
Exact(59)
The intersection between the Machine and race is complicated.
Where does the intersection between talent and practice lie?
In the intersection between the one and the many, there was no clemency in numbers.
Hampe is particularly good at examining the intersection between sex, politics and metaphysics.
The intersection between the art of movies and the Oscars is coincidental at best.
She called Runels' work "a miracle – the intersection between God and science".
But it's offset, so that the intersection between the two subtractions makes interesting shapes".
The major themes were sex and movies, and especially the intersection between sex and movies.
This is where the intersection between work and family life begins to get more interesting.
Ed Park explores the intersection between role-playing games and fiction.
It is therefore crucial to understand the intersection between climate change and migration.
More suggestions(13)
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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