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The phrase "assumptions behind" is correct and usable in written English.
You can use this phrase when you want to refer to the ideas or beliefs that may be influencing a certain situation or thought process. For example, "We need to take a closer look at the assumptions behind the proposed budget plan."
Exact(56)
There are many assumptions behind this argument.
This reveals some disturbing assumptions behind government thinking.
(Just think of the assumptions behind the bandage's "flesh" color).
For one, the assumptions behind them are still being argued.
What are the assumptions behind such an observation?
But the political assumptions behind the Malaysia Solution seem questionable.
But the assumptions behind the attacks on Chaudhry are false".
Paulson's story also casts a harsh light on the prevailing assumptions behind corporate compensation policies.
Factum's Web site contains dozens of treatises questioning the aesthetic assumptions behind our disdain for fakes.
In Alone Together, I question such proclamations and the assumptions behind them.
Experts say the assumptions behind the 1.4 figure should be made public.
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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