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The phrase "model developed" is correct and usable in written English.
You can use it when referring to a model that was created or constructed. For example: "The new model developed by the research team proved to be highly accurate."
Exact(59)
This is a model developed at Washington State University.
The rehabilitation model developed by Pastor Mimi is that of a therapeutic community rehabilitation centre.
It is based on the successful Operation Ceasefire (pdf) model developed in the US.
An innovative model developed by the Ascend Foundation provides special insight.
They visit in pairs after school, using a model developed by educators in Sacramento, Calif.
Not the latest model developed by the Boston-based drone maker CyPhy Works, though.
This was then fitted to a GE model developed by Ghoos et al. (1993).
Countries whose governments were able and willing to resist this model developed faster.
If new battery technologies don't work, maybe the model developed by Better Place will.
HadGEM2-ES is a fully coupled atmosphere ocean climate model developed by the UK Met Office52.
This is an economic model developed by the economic elite to benefit the economic elite.
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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