In Lieu of Newspapers, Use Craigslist?

THE CHICAGO TRIBUNE censored a paid obit that ran in the paper.

The family of Ken Swanborn submitted an obit with the final line, "In lieu of flowers, please vote Democratic."

The paper refused to run that line. A woman on the paper's paid-death-notice desk told the Chicago Reader, "If it's considered discriminatory or offensive, they take the line out."

Do they have the right to do that?