I mean, your brother literally picks Livvy up and takes her with him when you're all visiting the brothel. So how was she "lying" when it basically happened right in front of you?
Edit: Just got to the part in chapter 2 and the only thing Livvy was lying about was that she loved Rubeus. She still had sex with him, so I don't see how that clears anything up. She could've just refused all that stuff and told the MC, but she didn't. In fact she said she enjoyed the orgies organized by Rubeus. And then Charlotte STILL has the hots for Rubeus even after he drugged and almost raped her...... even with his pheromone potion or whatever that's disgusting. Are you going to ease up on all this cucking and NTR shit, or can we expect more of that? Because it's getting annoying at this point. EVERY SINGLE LI (Except the elf girl) so far is constantly talking about fucking other men(or actually fucking them). It's a bit excessive. If you want to make an NTR game just do it, and put it in your tags.