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The phrase "automatically by using" is correct and usable in written English.
It can be used when describing a process or action that occurs without manual intervention, facilitated by a specific method or tool.
Example: "The software updates itself automatically by using the latest version available on the server."
Alternatives: "instantly through" or "automatically via".
Exact(39)
Items can also be put into collections automatically by using key phrases.
The voltage can be applied to the glass manually, using a rheostat or a switch to control the level of lightening, or it can be applied automatically by using light sensors.
256 SR latch units, XOR, and DFF are implemented automatically by using circuit design tools.
Injections were performed automatically by using a commercially available power injector (Stellant, Medrad, Pittsburgh, PA).
DEMs were generated automatically by using DEM extraction tool from the PCI Gemomatica 9.1.
We analyzed the layers automatically by using the software package ReefMaster Pro ver. 1.8.
Similar(21)
This paper studies the possibility of building models of law semi-automatically by using the NómosT tool.
The crack opening load was automatically determined by using the normalized-extended ASTM method.
The fatigue crack length was automatically measured by using a DCPD (direct current potential drop) method.
The system operation is automatically controlled by using a Lab VIEW program which is especially developed for this purpose.
Therefore, the paper selects hashtag in the tweets as the tag which are automatically classified by using a machine method.
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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