Sericea Lespedeza is a long-lived perennial plant that’s tough to control. Deer and other wildlife species don’t consume sericea lespedeza forage. It’s truly a noxious weed.
There’s a great explanation of this plant and the control options at: http://www.okrangelandswest.okstate.edu/files/invasive%20species%20pdfs/NREM-2874.pdf
It’s a lot of work to control sericea lespedeza. However, if it’s not controlled it will continue to spread.