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The phrase "lie at the intersection" is grammatically correct and commonly used in written English.
It can be used to describe the location of something that is situated at the point where two or more things intersect, such as roads, lines, or ideas. Example: The new building lies at the intersection of Main Street and Park Avenue, making it easily accessible from all directions. Example: The concept of environmental conservation lies at the intersection of science and public policy.
Exact(15)
Undocumented youngsters lie at the intersection of three official priorities: to protect children, to discourage illegal immigration and to economise on public services.
The "hardest and coolest" services such as its "Mayday" service lie at the intersection of "customer delight" and "deep integration through the entire stack," he said.
Expressing the unknown in terms of the polar coordinate variables r and θ, he showed that a solution of the polynomial would lie at the intersection of two curves of the form T r, θ) = 0 and U r, θ) = 0.
So social scientists should devote a small palace guard to settled subjects and redeploy most of their forces to new fields like social neuroscience, behavioral economics, evolutionary psychology and social epigenetics, most of which, not coincidentally, lie at the intersection of the natural and social sciences.
The commission of inquiry did not specifically address the issue of North Korea's overseas workers, but the Asan report suggests, "North Korea's labour exports lie at the intersection between grave human rights violations and North Korea's weapons of mass destruction programme.
Tremendous interest and need lie at the intersection of telemedicine and minimally invasive surgery.
Similar(44)
And they have to collaborate, because the most interesting mysteries lie at the intersections of disciplines.
The answers lie at the intersections.
Crystallography lay at the intersection of chemistry and mathematics.
"SuperBetter" lies at the intersection of self-improvement and selfishness.
The town lies at the intersection of roads from Bida, Baro, Tagagi, Lapai, and Ebba.
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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