All invasive species control efforts will involve at least several years of removal efforts. Even when 100% of plants are removed, seeds persist in the seed bank, vegetation re-sprouts from remaining rootstock and rhizomes, and any bare soil patches can invite new invasive species to establish. To be successful, you will need to plan to monitor the area for some years and promptly remove any invasive plants that re-appear. Manual & Mechanical Control Methods for Common Invasive Species in Weston (PDF) provides guidance on how many years each species needs to be monitored.
Fortunately, the work that comes after the first year gets progressively easier, as fewer and fewer invasive plants emerge and more native plants establish. Within a few years, you and the wildlife around you will enjoy the fruits of your invasive species control efforts.