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The phrase "exists at the intersection" is correct and usable in written English.
You can use this phrase when referring to a point of interaction between two different things. For example, you could say: "A unique blend of cultures exists at the intersection of these two cities."
Exact(30)
He says, "Lin exists at the intersection of a bunch of worlds that don't often intersect.
The second reason Republicans hate Medicare exists at the intersection of policy and politics.
Creativity exists at the intersection of the individual, the domain, and the field.
Computational social science exists at the intersection of these varied disciplines.
Inclusive Prosperity Capital exists at the intersection of green energy finance, community development, and climate impact.
What makes the field so fascinating, he says, is that it exists at the intersection of science and the humanities.
Similar(30)
All the more when we exist at the intersection of socially marginalised groups.
But he noted too that cinema has always existed at the intersection of art and technology.
Which technological challenges that exist at the intersection of exponential technologies present enormous business opportunities?
"We exist at the intersection of the great poems in our archive and this very broad public," she said.
Those of us who exist at the intersection of marginalized sexuality and race now have a storied tradition of fighting for space in the world.
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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