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"respectively represent" is correct and usable in written English.
You can use it to indicate that each item in a list of two or more items is associated with a particular item on the list. For example: "The team members, Joe, Sarah and Jack, respectively represent the North, East and West regions."
Exact(60)
Those percentages respectively represent increases of 27percentand13percentcent from just two years ago.
Note that these sentences respectively represent the first whisper of the spoon and the string, the brokenhearted gay, the rotting paella, all of which he will relate in due course.
Furthermore, and, where and, respectively, represent the upper.
Parameters i and j respectively represent two different mobile users.
where and, respectively, represent a transform and its inverse operator.
The four equations, respectively represent the relations between the four optimization objectives and the design variables.
These metrics respectively represent environmental burden in terms of land use and energy resources.
Where [x] and ax respectively represent the molar concentration and activity of species x.
(6) and (7) respectively represent the system positive and negative reserve constraints.
In Fig. 4, The two curves respectively represent possible methods of graph partitioning.
Furthermore, and, where and, respectively, represent the upper limit and the lower limit of.
Related(17)
suitably represent
respectively represented
respectively representing
respectively see
separately represent
sectors represent
areas represent
committees represent
trips represent
recorded represent
contains represent
exports represent
counterparts represent
averages represent
conducted represent
were represent
projects represent
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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