The phrase 'has been shown to be' is correct and usable in written English. You can use this phrase when you want to show that something has been established or demonstrated as true through evidence or research. For example: "Research has been shown to be a valuable tool for helping to inform decision-making."
It has been shown to be carcinogenic.
this has been shown to be numerically feasible (Wright 1996).
RSL2 has been shown to be responsive to P deficiency22.
RSL4 has been shown to be induced by auxin19.
This has been shown to be beneficial for learning.
Anxiety has been shown to be associated with cardiovascular disease.
It has been shown to be effective from experimental data.
The code has been shown to be accurate and efficient.
After decades, his intuition has been shown to be true.
Thus, the modeling method has been shown to be efficient.
Neurorehabilitation has been shown to be very efficient [4, 5].
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