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The phrase "are on the same plane" is correct and usable in written English.
It can be used to indicate that two or more things are equal or comparable in a certain context, such as ideas, opinions, or levels of understanding.
Example: "In terms of our goals for the project, I believe we are on the same plane and can work together effectively."
Alternatives: "are on the same level" or "are in agreement."
Exact(11)
It is not even "in front of" the maroon; they are on the same plane.
Robby and I are on the same plane tonight to San Jose, so I wasn't leaving until he was leaving anyway".
The bold atom/bond means atoms/bonds around it are on the same plane.
But the proposed antenna uses CPW feeder because patch and ground are on the same plane.
Moreover, the syntheses of the rotating speed and linear velocity are on the same plane.
Figure 1 Triangle (pmb{ABC}) and point P. Point P and triangle (ABC) are on the same plane.
Similar(48)
"But Rocky and others have got to believe that they are on the same planet and plane as Kane".
I had brought one stereogram with lines of print — unrelated words and short phrases — that, if viewed stereoscopically, appeared to be on seven different planes of depth, but, if viewed with one eye, or without true stereo vision, appeared to be on the same plane.
It was on the same plane as they're swinging the bat".
The Duchess of York, Sarah Ferguson, is on the same plane and tries to comfort them during the eight-hour flight.
It's a little like being on the same plane as a movie star in first class.
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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