Hi melrowgo. ExpertFlyer is not a low fare search, the fare tariffs shown are what the airline publishes, but that doesn't mean they are available on a given flight. As per our FAQ:

How do I purchase tickets based on the fares I see on ExpertFlyer.com?

You would purchase the fare by either contacting the airline directly or going through a travel agent and asking for the specific Fare Basis or Fare Class. Remember to check the availability of the Fare Class in the Flight Availability tool to make sure that the fare you wish to purchase is indeed available.

Also you may want to read our EduGuide: http://www.expertflyer.com/edu-guide.pdf