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'model is established' is a grammatically correct and usable phrase in written English.
It is typically used to indicate that a system or process is in place and functioning. For example, "Once the model is established, we can begin to implement the project."
Exact(60)
Therefore, a joint distribution model is established.
A nonlinear force model is established too.
Therefore the exponential model is established.
A comprehensive wear model is established.
A more accurate kinetic model is established.
The physical model is established and solved.
A mixed integer programming model is established.
Finally, a hydrodynamic model is established.
An in-plane model is established.
The model is established by two steps.
In step 2, a permeability model is established.
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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