My taxes were accepted January 31sr but haven’t been approved yet. Is this normal? How long does it take for taxes to get approved? Does it mean there’s a problem?

It's not uncommon to still show accepted since the IRS only officially started accepting e-filed returns on January 29th. They may still be working on a backlog. It can range from a span of just a few days up to about 3 weeks to see a move from accepted to approved. 

And since everyone's tax situation will vary, when everyone gets approved will also vary. And you can find more details on that here Why do some refunds take longer than others?

Just keep an eye out on their website for updates. If you don't see a change after 3 weeks, that is when you need to contact the IRS. Please see details below.  

My return is accepted but still not approved - is there a problem? Should I be worried?

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