The phrase "consider the matter" is perfectly appropriate for use in written English. It is a phrase used to refer to someone thinking carefully about a specific situation or issue. For example: "The board asked me to consider the matter at length before making a decision.".
Consider the matter of seating.
Consider the matter of costume.
Still, many experts consider the matter settled.
"We consider the matter closed," Moreau said.
Consider the matter of telephone reservations.
"We don't consider the matter complete".
Smith agreed to consider the matter.
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