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"reported herein" is correct and usable in written English.
You can use it when talking about information that is specifically being reported in the source you are discussing. For example, "The research findings reported herein suggest that the trend is continuing."
Exact(60)
Details of the study are reported herein.
The details of two aforementioned approaches are also reported herein.
The details of this technique are reported herein.
The results of these investigations are reported herein.
Based on the results reported herein, some conclusions are drawn.
The product's usability was formally evaluated and is reported herein.
Extensive structure activity relationship studies are reported herein.
Reported herein are the isolation, structure elucidation and bioactivity investigation results of compounds 1 5.
Details of the isolation, structure elucidation and biological study of these secondary metabolites are reported herein.
In the case reported herein, a buccal mucosal defect was reconstructed with BFP flap.
Nevertheless benzene oxidation by a heme peroxidase/peroxygenase is reported herein for the first time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com