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The phrase "a total value of" is correct and usable in written English.
It can be used when specifying the complete worth or amount of something, often in financial or quantitative contexts.
Example: "The project was completed with a total value of $1 million."
Alternatives: "an overall value of" or "a cumulative value of".
Exact(56)
with a total value of $31.8 billion.
At that price, the stock has a total value of more than $2.16 billion.
With prizes on offer to a total value of £8,000, this represents serious financial support.
At that price the company has a total value of more than $960 million.
At that price, its common shares have a total value of $62 million.
They closed yesterday at $47.38, for a total value of $5.79 billion.
At the current price, the stock has a total value of more than $350 million.
The car and other gifts will have a total value of about $100,000.
Together the projects carry a total value of €30 million ($38 million).
In Milton Keynes in Buckinghamshire, 765 loans have been taken out by homebuyers, with a total value of £37.8m.
British households made 223m purchases on their credit cards in March, with a total value of £12.6bn.
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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