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The phrase "are then derived" is correct and usable in written English.
It can be used when explaining the process of obtaining or obtaining results from a particular source or method.
Example: "The final results are then derived from the initial data collected during the experiment."
Alternatives: "are subsequently obtained" or "are consequently extracted".
Exact(60)
Rather than thinking through a plan for growth from which measures are then derived, this is shoehorning budget measures into the varying preordained categories and then calling them a plan, in short, turning the growth process on its head.
Explicit formulas are then derived by vectorization.
The coordinates are then derived by numerical integration.
The system equations of the model are then derived.
Stability equations are then derived from the adjacent equilibrium criterion.
Dispersion relations for the two types of axisymmetric guided waves are then derived analytically.
Mortality correlations among different countries under a VECM model are then derived.
Analytical sensitivities of the K S function are then derived to solve the optimization problem.
Health conditions of wooden poles are then derived based on the identified spectral peak.
To optimize the objective function, the corresponding updating rules for the algorithm are then derived analytically.
The relationship between the locking torque and the properties of the components are then derived.
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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