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Free sign upThe phrase "complexly" is correct and usable in written English.
It can be used to describe something that is done in a complex manner or involves multiple intricate elements. Example: "The issue was complexly intertwined with various social, economic, and political factors."
Dictionary
complexly
adverb
In a complex manner
Exact(60)
Given our current monetary regime, intellectual fashion among economists is one of the many complexly interrelated factors that give rise to the emergent macroeconomy.
The factors are complexly interrelated.
The mill is strongly and complexly developed in large decapods, which ingest food quickly and in coarse chunks.
Numerous teeth grew around the margins of the jaws and several in the palate; the teeth had a complexly folded internal structure, or labyrinthodont configuration, of the sort present in early tetrapods and their relatives.
During mountain-building episodes these materials were complexly deformed and recrystallized deep within the crust to form, particularly in East Antarctica, great crystalline-rock complexes.
But the central sections of Requiem for a Nun (1951) are challengingly set out in dramatic form, and A Fable (1954), a long, densely written, and complexly structured novel about World War I, demands attention as the work in which Faulkner made by far his greatest investment of time, effort, and authorial commitment.
As is true for age and sex, however, hereditary and environmental variables are complexly related.
The sculptors Bartolommeo Ammannati, Benvenuto Cellini, and, most importantly, Giambologna became the principal practitioners of Mannerism with their graceful and complexly posed statues.
In the breasts the actions of estrogens are complexly interrelated with those of other hormones, and their total significance is not easily defined.
The factors are complexly interrelated and difficult to assess for the present, let alone the future.
The ear vesicle becomes complexly folded to produce the labyrinth of the ear.
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com