"To advance the bill" means to move the proposed law forward in the legislative process, typically in order to have it discussed, debated, and potentially voted upon. Full definition
The process is made simple by advanced billing technology. (800loanmart.com)
Whether the venture can live up to its extravagant advance billing remains to be seen. (sciencemag.org)
«This not only misleads your constituents, but is an insult to New Yorkers who need these measures to access the health care they need to lead healthy, fulfilling lives, as well as the advocates who have fought tirelessly to advance these bills for years,» she wrote. (politico.com)