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The phrase "to deduce" is correct and usable in written English.
You can use it when referring to the process of drawing a conclusion or inference from available information or evidence. Example: "From the data presented, we can deduce that the experiment was successful."
Dictionary
Exact(57)
She encouraged us to deduce.
The reason is not difficult to deduce.
It is reasonable to deduce that.
The bigger things you're just having to deduce from repercussions.
They wanted to deduce a function for it.
"But it is too early to deduce anything significant.
Apollonius used this relation to deduce fundamental properties of conics.
It took scientists another 50 years to deduce the structure of DNA.
Or do we leave it to audiences to deduce the contemporary parallels?
But they were not able to deduce what exactly they had produced.
The technique measures blood flow velocity to deduce pulmonary artery pressure.
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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