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"to briefly conclude" is correct and usable in written English
You can use it when summarizing a presentation, article, or discussion in order to draw a conclusion. For example: "To briefly conclude, it is clear that renewable energy sources are becoming increasingly important as an alternative to fossil fuels."
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In Section Empowering investigators, we discuss technologies that can be deployed against such predators, as well as our own approach to detection around identifying requests for information that relate to the Cycle of Entrapment, and briefly conclude the paper in Section Investigating the possible gain from machine learning.
Since in the discussion we will return to this sensor evolution scenario in a broader context, we briefly conclude the section by mentioning the results from [57] concerning the complementary task of evolving actuators which maximize empowerment for a fixed sensor.
In Section 5, applying the above results we provide an interesting representation theorem for the solution set of each VEP in M. Finally, we briefly conclude our results in Section 6.
We briefly conclude in Section 'Conclusion'.
This battle between sulks (or "grumkins and snarks," Jon has it) briefly concluded, the two agree to join forces, more or less, though Jon is right about one thing.
Just hours before his ultimate announcement that he would resign effective Nov. 15, his aides said, he had briefly concluded that his plan was merely to say he would not seek re-election in 2005.
He rambled briefly, concluded by saying "the greatest of these is love," and sat down.
Briefly," concluded X, "the situation may be summed up as follows: the Poles fancy that they can be insolent to us, as they feel strong in the support of France and Britain, and believe that they can count upon the material assistance of Russia.
Section 4 briefly concludes.
Section 5 briefly concludes the article.
Tell people that when they feel like speaking they should step to the center, grab an object, return to their seat, and briefly say whatever they need to say to conclude the group.
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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