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"the recorded data" is correct and usable in written English
You can use it any time you are referring to data that has been collected and documented. For example, "The recorded data clearly shows that the company's profits have increased significantly over the last three years."
Exact(60)
When the recorded data are tabulated, these laughs are rated as successful movie jokes, and the scores are high.
Test engines are heavily instrumented, and the recorded data are transmitted to a computer for processing.
The recorded data were analyzed.
The recorded data are further evaluated.
The recorded data are presented and analyzed in this paper.
The recorded data were downloaded to MATLAB for data analysis.
First, PHAT processing is applied to the recorded data.
The recorded data set is shown in Figure 13(a).
Consumers should have more options in how Amazon and Google handle the recorded data.
The recorded data have been interpreted in terms of shear rate, shear stress and viscosity.
The recorded data correspond to muons that primarily have energies between 10 and 20 GeV.
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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