divorce act but still married?

“Are we truly still ‘married’?? We obtained the legal divorce, yet continue to live and behave as a wedded pair? I separated from my husband in December 2008 after two decades together. We headed to the courthouse early on, signed the documents, then returned home for dinner and shared our usual bed that night. It feels odd, I realize. Since then we’ve kept up sexual relations, paid bills jointly, and raised our daughters just as before—acting like a standard married couple. There’s no dating around or searching for others. So, are we considered married despite lacking the certificate?”