"weigh so much" is a correct and usable phrase in written English.
It is commonly used to describe the heaviness or weight of an object or a person. Here is an example: "My suitcase weighs so much that I can barely lift it onto the luggage scale."
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Lives didn't weigh so much, back then, so why not take a moment to honor them now?
For example, tanks now weigh so much that the Air Force's C-130 transport planes have trouble ferrying them to the battlefield.
More people might be carrying laptop computers if they didn't weigh so much, cost so much and run out of battery power so quickly.
"Anything strong enough to take that kind of impact would weigh so much that you couldn't operate it," said Basil Barimo, vice president for operations and safety at the Air Transport Association, the trade organization of the big airlines.
Because these words are so easily said, yet they weigh so much, say it when you mean it, because your wives will feel it :).
It helps to have a nearly empty gas tank so that it doesn't weigh so much and is easy to move.
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The ZL1 weighs so much because it's built to survive the severe abuse that will inevitably be heaped upon it.
"Never have 12 cookies weighed so much," said Michael Hirtenstein of Manhattan and Bridgehampton, lifting his purchase from the counter at Levain Bakery in Wainscott on a recent afternoon.
We are reminded that the emotional argument of the book is intimately bound up with this relationship; and we feel its weight without realizing why it weighs so much.
Later, when I return to the cabin, I dig through my rucksack, wondering why it weighs so much, assuming it's because I'm still carrying around my lucky rocks, but then I remember leaving them behind and so I dump the full contents and there in the bottom is a camera - HIS camera - and I'm hoping I didn't accidentally steal it.
The guy said that price didn't matter, but we had a hard time getting him to see that the problem wasn't money, it was physics -- the thing would have weighed so much the aircraft would have never been certified for flight".
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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