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"summing up" is correct and usable in written English
You can use it to conclude a discussion by summarizing the main points. For example, "Summing up, we've discussed the importance of regular hydration, eating healthy foods, and getting adequate amounts of exercise and sleep."
Dictionary
Summing up
verb
Present participle of sum up
Exact(56)
Summing up, the C.E.O.
Summing up her life: "Arrogant, never satisfied... a handful".
Summing up 10 intimate years is quite impossible.
Summing up, Ms Hassell recorded the death as "accidental".
Summing up, there are two distinct groups, hypochondriacs and alarmists.
Summing up, (3.2) holds.
Summing up, (2.20) is true.
Summing up, we have proved (2.38).
Similar(3)
It's a lovely summing-up.
But any such summing-up is of course inadequate.
On 18 June the judge began his summing-up.
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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