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Discover LudwigThe word 'indivisibly' is correct and usable in written English.
You can use it to describe something that cannot be divided, parted, or broken. For example, "The family remained indivisibly united in the face of adversity."
Dictionary
indivisibly
adverb
In an indivisible manner.
Exact(19)
The motives of the personal and the social are indivisibly joined by the idea that each person is an image of God for himself alone, but in Christ he also recognizes the image of God in the neighbour and with the neighbour is a member in the one body of Christ.
A similar process took place in the formulation of Christological belief by the council of Chalcedon (451), which defined Christ as "one person, acknowledged in two natures, unconfusedly, unchangeably, indivisibly, inseparably".
And following in the war's train was the full array of afflictions, disorders, and distortions of the Presidency which seemed to be indivisibly bound up with the war effort: isolation, secrecy, deception, rage, repression.
Certain hair products were popular then, and their scent became, for me, indivisibly linked with the idea of sex, and then with sex itself.
For all war has become as indivisibly global, and as nearly instantaneously so, as contemporary television coverage.
In large part, they are treated indivisibly.
I was, against all modern odds, indivisibly present.
He also connected the two indivisibly.
The 'classics' are indivisibly attached to class difference.
But America's insistence on believing that somehow the particular qualities of the US as a state – good and bad – are indivisibly and uniquely brilliant at producing exceptional people is mistaken.
Tricot are a Japanese band that somehow indivisibly merge math rock and J-pop.
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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