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The part of a sentence "hence, I' is correct and usable in written English
You can use it to draw a conclusion or introduce an explanation that follows logically from something that has been said previously. For example: The store was completely out of my favorite flavor of ice cream; hence, I had to settle for a different one.
Exact(58)
Hence, (i) holds.
Hence (i) is proved.
Hence, (i) follows.
Hence (i) is satisfies.
Hence, (i) holds for x ¯.
Hence (i) holds, which is the desired result.
Hence, i S will suffer that aforementioned fluctuation too.
Hence, I prefer a lottery.
Hence I tread lightly here.
Similar(2)
end{aligned} Hence (I-T) is G-monotone.
Hence, (i - iv) defi - ivn Sect. 1 holdefined
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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