Is there a phrase that can be used in place of
Could you please
in a formal letter? I have been repeatedly using "Could you please look into", "Could you please let me know" and was wondering if there is something else I can use.
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Don't use please in this position after the auxiliary verb unless you are annoyed or you are speaking to someone from a position of authority. It could accidentally offend the person you are writing to! See here for more details.
Some other phrases you could use are: