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please remember me; please help me; please treat me well; I look forward to working with you
please do; please take care of
初めまして、よろしくお願いします。
Nice to meet you, pleased to work with you.
今後ともよろしくお願いします。
I look forward to your continued support.
ご検討のほど、よろしくお願いします。
Thank you for your consideration.