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The phrase "they intersect each other" is correct and usable in written English.
It can be used when describing two or more lines, paths, or concepts that meet or cross at a certain point. Example: "In geometry, two lines are said to intersect each other if they cross at a specific angle."
Exact(1)
Of these structures, orogen perpendicular (northwest trending) and orogen oblique (north trending) faults are the most influential structures with respect to ore deposition, especially in regions where they intersect each other.
Similar(59)
At the terminus of the glacier many crevasses may intersect each other, forming jagged pinnacles of ice called seracs.
Second case: the surfaces do intersect each other.
First case: the surfaces do not intersect each other.
Mp magnetization loops intersect each other for Bc1p⩽Bm⩽Bdp and decrease suddenly at Bdp.
If some split is possible, trajectories of both sections intersect each other.
Some lateral cracks may propagate and intersect each other and result in material removal.
In this case both curves will intersect each other at a certain point.
In this case, two IFs are closer and intersect each other.
Figure 5 The original instantaneous frequencies and the estimation results, when two IFs intersect each other.
These arrays can intersect each other, and form multiple closed loops.
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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