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The phrase "thereby including" is correct and can be used in written English.
This phrase is used to indicate that something is included in a larger set of items. For example, "The company expanded to six locations, thereby including two new cities in its network."
Exact(37)
(b) generally, thereby including treatment of diseases or illnesses.
Health promotion is the combination of educational and environmental supports for actions and conditions of living conducive to health, thereby including health education.
Unlike the first study, in which we included all children of immigrants regardless of their own citizenship status, thereby including some youths who were themselves eligible for benefits, in this study we focused on children who were foreign-born.
This work builds on these earlier estimates by employing the methods of technical cost modeling and thereby including explicit consideration of design specifications, exogenous factor cost and processing and operational details.
While the new sustainable development goals launched in 2015 have promised to leave no one behind – thereby including disability rights in the development framework for the first time – people with disabilities won't have their rights realised until attitudes change and the mainstream stops excluding people.
The solution to the underlying problem leads itself to the variety of problems thereby including the effects of Gaussian pulses.
Similar(23)
Those time drivers thereby include the total time to perform the task, including auxiliary task and can be used during the development stage.
The general definition of the public sector includes government ownership or control rather than mere function and thereby includes, for example, the exercise of public authority or the implementation of public policy.
One of the functions of rights is to insulate and protect individuals from political pressures that challenge their rights, but EU institutions have little power to prevail upon Member States which adjust their citizenship criteria and thereby include or exclude individuals from the status of EU citizen.
The first group, the alkali metals, thereby includes, in addition to lithium and sodium, the metals from potassium down the table to francium but not the much less similar metals of Group 11 (Ib; copper, etc).. Also the second group, the alkaline-earth metals, is considered to include beryllium, magnesium, calcium, strontium, barium, and radium but not the elements of Group 12 (IIb).
Urine output (UO) is a sensitive and early marker for AKI, independent of serum creatinine, thereby included as a criterion to diagnose AKI [49, 50].
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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