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"we elaborated" is a correct and usable phrase in written English.
It can be used to show that a group of people have discussed or explained something in detail. Example: During the meeting, we elaborated on the new project proposal and outlined our plans for implementation.
Exact(60)
We elaborated the abstract model as follows.
We elaborated formulas to propagate uncertainties of the (quasi-) electric tensors to their respective phase tensors.
We elaborated our congestion control approach in the context of the SAFESPOST European project.
This section outlines the detailed coding rules we elaborated to minimize the arbitrariness and subjectivity.
To suppress undesirable oscillations in the data we elaborated the following correction scheme.
We elaborated on the foundations of our numerical method and validated it on assorted test cases.
Subsequently we elaborated these general issues into analysis variables within five themes.
Here, we elaborated more on what it's like to integrate into a home media suite and to share a miniature PC with roommates.
In the previous sections, we elaborated on the target population definitions and the composition of the respective samples.
Earlier, we elaborated the approach [17] that allows to obtain carbon nanotube-based nanomaterials with tailor-made structure and properties.
Furthermore, we elaborated on the importance of seeds detection, from which the skin probability (termed 'skinness') is propagated.
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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