My (M21) girlfriend (19F) doesn't want me to meet her sister (17F) and I can't make any sense of it?

Anonymous
For context she talks about her at least once a day and sometimes compares herself to her. She has this love-hate thing going on with her like she likes to hangout with her but also complains a lot about her to me. Couple of months ago she and her sister pulled a unknown text prank on me but I knew it was her sister and texted her next day that I knew and we had a causal talk. But when I told my girlfriend that I texted her sis, she flipped off and started belittle me that I am a nobody to text her even if she was the one who pulled the prank. Even at the present I wanted to watch the new Spiderman so badly and asked my girlfriend to go with me but she denied but she is going to watch the same movie with her sister so I asked her to go all three of us as tickets weren't easy to get but she denied that by saying it would be awkward between me and her sister and showed me discontent. I can't make any sense of it.
My (M21) girlfriend (19F) doesn't want me to meet her sister (17F) and I can't make any sense of it?
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