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The phrase "undergoing back and forth" is correct and usable in written English.
It can be used to describe a situation where there is a continuous exchange or discussion, often involving differing opinions or decisions. Example: "The negotiations have been undergoing back and forth for weeks, with both parties struggling to reach an agreement."
Similar(60)
Once each supercontinent is assembled, it undergoes back-and-forth rotations about a stable axis on the Equator, Mr. Mitchell said.
Especially in the case of Rrm4, the brightness of the signals undergoing corralled back-and-forth movements remains constant.
This can be ambiguous, because trajectories sometimes undergo rapid jumps back and forth between different states; it is not unequivocally clear when an apparent transition is real, and when it is a random fluctuation without change of looping state.
The back-and-forth continues for weeks.
There is back-and-forth on this.
It's a back-and-forth conversation.
There is no need to add terms to the equation, or to make corrections to reflect the fact that as the system approaches equilibrium, any particular molecule can undergo an indefinite number of interconversions, back and forth, between the two states.
Back and forth.
We went back and forth".
They speculated back and forth.
"Guys go back and forth.
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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