look into
Look into (phrasal verb) means to investigate a problem, complaint or question in order to find out the facts. Example: “We'll look into the missing payment and get back to you.”
How to use look into
Learner’s notesIn plain EnglishTo find out more about something.
Neutral, and the standard polite phrasing in customer service: I'll look into it. Used that way it promises attention without promising a result, which is why it can sound evasive.
Look up means find a single fact in a reference source; look into means investigate a whole situation. You look up a phone number but look into a suspicious charge.
Fill the gap
Can you complete this real example?
We'll _____ the missing payment and get back to you.