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The phrase "the grounds stated" is correct and usable in written English.
It can be used when referring to the reasons or justifications that have been previously mentioned or articulated. Example: "The committee made its decision based on the grounds stated in the report."
Exact(2)
However, the enjoyment of these rights may be restricted by laws imposed by the Parliament of Singapore on the grounds stated in Article 14(2) of the Constitution.
However, you cannot justify allowing federal office holders and party officials to solicit corrupting contributions of as much as $194,400 per donor over the next two years to pay for the 2016 national conventions on the grounds stated by Speaker Boehner, or on any grounds.
Similar(58)
This condition is called the ground state.
This excited-state molecule often has drastically different properties from the ground-state molecule.
Unfortunately, the three-level laser works only if the ground state is depopulated.
In effect, the ground state is a barrier that prevents atoms from evaporating.
That's not the state we want to study – we want to study the ground state.
The ground state contribution produces |indCFIV|="1.
The ground state mapping involves three paths.
During the time evolution, the ground state population [P0 t)] fluctuates.
This argument proves the stability of the ground state solution.
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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