The corrective statements were meant to appear in places that tobacco companies had “historically used to promulgate false smoking and health messages.” In addition to the TV and newspaper ads, there will be messaging on the packs themselves and on the company’s websites, though details are still being worked out.

“I certainly don’t think that what we have finally ended up with is really in the spirit of the original ruling,” said Ruth Malone, a professor of nursing and public health policy at the University of California, San Francisco, who consulted for the Justice Department in the case.

“The original ruling was so that the American public would understand that they had been deceived through multiple means about whether smoking caused disease, whether smoking killed people, whether secondhand smoke caused disease, whether nicotine was addictive,” she said.

Proposed versions of the ads in 2011 appeared tougher. One said: “We told Congress under oath that we believed nicotine is not addictive. We told you that smoking is not an addiction and all it takes to quit is willpower. Here’s the truth: Smoking is very addictive. And it’s not easy to quit. We manipulated cigarettes to make them more addictive.”

Tobacco companies argued that the initially proposed statements were “forced public confessions” designed to “shame and humiliate them.” They also said the statements were unnecessary after a 2009 law gave the Food and Drug Administration the authority to regulate tobacco products.

The campaign that will begin on Sunday includes five different ads with statements divided by category, such as the “manipulation of cigarette design and composition to ensure optimum nicotine delivery” and “adverse health effects of exposure to secondhand smoke.” Other statements include “Secondhand smoke causes lung cancer and coronary heart disease in adults who do not smoke” and “Smoking kills, on average, 1,200 Americans. Every day.”

Full-page ads will run online and in the Sunday issues of more than 40 newspapers, including The New York Times, on five separate days. There are also five versions of the commercials, which will run for a year on CBS, ABC and NBC in the evenings on Monday through Thursday. The spots feature a voice reading a statement as the text appears on the screen.