If you want to close an Imvu account, you can do that using a special removal page.
We will show you below how we deleted our profile on a desktop computer:
1 Open the removal page
by clicking on the green button below.Open Imvu removal page >
2 Enter your email and password to login
3 Enter your password and continue
Your account has successfully been deleted and you’ll see a confirmation of it.
Source screenshots (& thanks to): Imvu.com