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The phrase "ascertained automatically by" is correct and usable in written English.
It can be used in contexts where you want to indicate that something is determined or verified without manual intervention, often in technical or formal writing.
Example: "The system ensures that all user data is ascertained automatically by the software during the registration process."
Alternatives: "determined automatically by" or "verified automatically by".
Exact(1)
The values of threshold cycles (CT) were ascertained automatically by instrument, and the fold changes of individual gene were calculated using the equation 2- ΔΔCT according to revious descriptions [ 70].
Similar(59)
As a result, the structural soundness of class and object diagrams is automatically ascertained and model-based tasks can be smoothly performed afterwards.
(Compd. 1), as ascertained by elemental analysis.
The locations of electrode contacts were ascertained by post-implantation magnetic resonance imaging (MRI).
Those responsible for the firing could not be ascertained by the United Nations military observers.
Lipoperoxidation was ascertained by the formation of MDA.
Optimum collector configurations were first ascertained by FEA modelling.
The extent of deterioration is ascertained by the vibration analysis.
Students' learning approaches were ascertained by the Approaches and Study Skills Inventory for Students.
The accuracy of the method was ascertained by recovery method.
The surface modifications were further ascertained by XPS.
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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