I'm not sure it's variegated - mine get sun burn and that's what it looks like to me. Yes, it's VERY invasive - I have it all across the front of my home and fight it all the time. It looks ratty and generally messy all the time!
I'm kind of surprised to hear "invasive" for this plant. I've had a stand of it for about 10 years now, and I've not found it to be invasive at all… I sorta wish it was! In this area that I have it . I know that it certainly does not like the sun, but for me, it has been very well behaved. I think I do see a small amount of variegation that growin is talking about…A slight "vein" in the center of the leaf. I give this plant a thumbs up! :-)