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The phrase "the concatenation" is correct and usable in written English.
It can be used when referring to the process of linking or joining together two or more elements, often in the context of programming or data manipulation.
Example: "The concatenation of the two strings resulted in a new, combined string."
Alternatives: "the joining" or "the linking".
Dictionary
the concatenation
noun
A series of links united; a series or order of things depending on each other, as if linked together; a chain, a succession.
synonyms
Exact(60)
I describe it as the concatenation of two disparate elements.
The concatenation of so many trucks can be intimidating to new, young drivers.
The code of 13 is therefore 1110101, the concatenation of length 1110 and offset 101.
Multidomain proteins form in evolution through the concatenation of domains, but structural domains may comprise multiple segments of the chain.
where ∥ is the concatenation operation.
The concatenation of the information with information.
Coding model of the concatenation codes.
Then we explain the concatenation of bimodal units.
Figure 7 Memory cost of the concatenation scheme.
Second, we compare the traditional scheme with the concatenation scheme.
The concatenation produces key stability up to 94%% [9].
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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