Yep! But they’re a dickens to actually eradicate. I’m going to be hatcheting some gashes in a big one or two on my property in August or September so I can poison its roots with glyphosate when it starts getting ready for fall. I’ve learned the hard way that if you leave the roots healthy you’re making tons of future work for yourself.
Privet is also a runner based plant and it’s also not from North America, but I’ve had more success looking it the old fashioned way.
It’s really gratifying to watch native species rebound and move back into the places after the introduced/invasive plants have been removed.