Print advertising is one of the many forms of advertising (http://en.wikipedia.org/wiki/Advertising#Types_of_advertisin...

"If an advertisement is printed on paper, be it newspapers, magazines, newsletters, booklets, flyers, direct mail, or anything else that would be considered a portable printed medium, then it comes under the banner of print advertising."
(http://advertising.about.com/od/advertisingglossary/g/Print-...

http://en.wikipedia.org/wiki/Insert_(print_advertising)

So perhaps:

Printing and Print Advertising Fair // Printing and Print Advertising Trade Fair

might work?

Quite apart from the references I've already given, the fact that this isn't tautological is confirmed, inter alia, by this:

http://www.alibris.com/booksearch?qwork=2687264

"Hearst Media Services is part of Hearst Corporation -- one of the nation’s largest diversified media companies. Its major interests include ownership of 15 daily and 38 weekly newspapers [...]

Specialties

Digital Advertising, Printing and Print Advertising, Social Media Consulting, Mobile Advertising"
(http://www.linkedin.com/company/hearst-media-houston)

And although 'targi' is plural, in English, it's 'fair' or 'trade fair', singular; the plural means more than one such event.