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"the equilibrium between" is a grammatically correct and commonly used phrase in written English.
It is typically used to describe a state of balance or equality between two or more things. Example: "In a healthy relationship, there should be an equilibrium between give and take."
Exact(60)
These rules are another way of reaching the equilibrium between humility and self-confidence which Hammon first found through faith.
Mr. Sall promised a change, "a new republic, in which the equilibrium between institutions is respected".
The equilibrium between sincerity and silliness is expertly judged by director Emil Wolk to ensure the circus hijinks never undermine the calibre and execution of the music.
The equilibrium between waste, variety and calorie intake is quite delicate, and all this is assuming, of course, that you're not on a diet or a budget.
'The main purpose,' he says, 'is not just to make music for its own sake, but to teach the equilibrium between competition and cooperation.
But some coastal areas have experienced an increase in saltwater intrusion, which happens when pumping alters the equilibrium between fresh and salty zones of the aquifer.
Until recent centuries, the equilibrium between the carbon in the world's forests and in the atmosphere remained constant.
The equilibrium between these species was established.
So what should we make of the equilibrium between our two not-so-mythical parties?
Further studies include the equilibrium between two economies and the conditions for stability.
Here, we present a computational study simulating the equilibrium between three conformations involving these regions.
More suggestions(19)
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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