Each Attraction card has an ability that begins with the word “Visit” followed by a long dash in its rules text. This is a visit ability. A visit ability triggers whenever you roll to visit your Attractions and the result matches one of the lit-up numbers. See rule 702.159, “Visit.”
April 27, 2018 · Dominaria
rule 717.5 not present in this release
August 26, 2016 · Conspiracy: Take the Crown
Effects may exempt certain cards from the procedure that restarts the game. These cards are not in their owner’s deck as the new game begins.
July 22, 2016 · Eldritch Moon
At the end of a subgame, each player takes all cards he or she owns that are in the subgame other than those in the subgame command zone, puts them into his or her main-game library, then shuffles them. This includes cards in the subgame’s exile zone. Except as specified in rules 717.5a–c, all other objects in the subgame cease to exist, as do the zones created for the subgame. The main game continues from the point at which it was discontinued: First, the spell or ability that created the subgame finishes resolving, even if it was created by a spell card that’s no longer on the stack. Then, if any main-game abilities triggered while the subgame was in progress due to cards being removed from the main game, those abilities are put onto the stack.