There are Indian universities that specialize in US law and train their students in US law. Law firms that have those lawyers work overnight on items that in the past were given to new grads. Experienced lawyers then review those documents, fix any issues, and put their signature on the document.
You could argue that there still has to be a US lawyer in the loop, but that's still true of software projects as well, that there is one Sr. software person overseeing the outsourced team.