"Require" illegal aliens to be amnestied (rather than "offer" them amnesty)
In February 2008, two Democratic Party-linked groups created a subtle talking point that politicians such as Barack Obama and other groups have used since then. In brief, they called to replace "offering illegal aliens a path to citizenship" (or a euphemized version thereof) with "requiring illegal aliens to get on a path to citizenship". They proposed this in the hopes that their tough talk would fool opponents.
To illustrate the change, here's a poll question from June, 2007:
One proposal would allow undocumented immigrants who have been living and working in the United States for a number of years, and who do not have a criminal record, to start on a path to citizenship...
Compare this April 2008 Obama editorial:
Second, we must require the 12 million undocumented immigrants who are already here, including more than 300,000 in North Carolina, to step out of the shadows and onto a path that includes the ability to earn citizenship...