The glory years for this lasted from the mid-1920s into the early 1930s. After that, though some cigarette advertising was illustrated, photography had largely taken over in an effort to have readers relate better to celebrity or glamorous smokers featured in those ads.
Although some variation in taste was possible via blending tobaccos from different sources (Egypt, Turkey, the American South), cigarettes are to a considerable extent a commodity. Therefore, most advertising themes in those days featured distinguished, older, rich-appearing people and, more often, attractive, youthful smokers in sophisticated settings. Earlier ads often used illustrations of exotic scenes from tobacco growing countries, while later ads sometimes used photos or illustrations of supposed physicians stressing that cigarettes had health benefits. Still, lifestyle themes predominated until the end.
Here are some cigarette ads from that era.