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The phrase "this set containing" is correct and usable in written English.
You can use it when referring to a specific collection of items or elements that are included within a larger context. Example: "This set containing various tools is essential for completing the project efficiently."
Exact(2)
We considered only the 312,560 tweets in this set containing a hashtag because we use this characteristic to define public political communication on Twitter.
This set containing 15,075 tree edges (15 per tree) was used for the subsequent analysis.
Similar(57)
This set contains a thumb tip, magic rope, multi playing balls, secret taper cards and miracle dice tricks.
This set contains 16 descriptors.
This set contains exactly (dim(mathcal{O}_{l})) indices.
Initially, this set contains sequence numbers 1 to K.
This set contains data used during network training as well as data not used.
We give sufficient conditions in order that this set contains at least two different elements.
This set contains masks which corresponds to the total number of propagating modes in this environment.
This set contains all cases that a rule classified correctly under verification of an expert.
This set contains both the common and the rare tautomeric forms.
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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