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The phrase "authors observed that" is correct and usable in written English.
It can be used when referencing findings or conclusions drawn by authors in a research paper or academic context.
Example: "In their study, the authors observed that there was a significant correlation between exercise and mental health."
Alternatives: "the authors noted that" or "the authors found that".
Exact(60)
Using a clever study of young twins, the authors observed that genes accounted for "46percentt of the variation in how popular the kids were".
Authors observed that scaffolds enabled cell migration and tissue formation.
The authors observed that the nanoparticle settlement mainly took place at the evaporator.
In Ref. [13], the authors observed that the mechanical properties of Cu-Ti-CNT nanocomposites improved.
The authors observed that even a simple energy modeling run generated pages of data with many different variables.
The authors observed that with a small local window, blocking artifact can be observed in the output image.
Additionally, the authors observed that A. oxyphylla was commonly found to be moldy under improper storage conditions.
The authors observed that the natural frequency of beams increased in the first stage with the increased prestressing force.
In this example, the authors observed that the choice of model could have significant implications on final public policy decisions.
However, the authors observed that the up-regulation of stromal vimentin, periostin, and versican is associated with higher cancer grades.
Authors observed that, Zr act as a phase stabilizer and stability of barium cerate increases with Zr amount.
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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