The meaning of "solved" differs based on what type of ability follows it. "Solved — [activated ability]" means "[Activated ability]. Activate only if this Case is solved." Activated abilities contain a colon. They're generally written "[Cost]: [Effect]."
Case of the Gateway Express
"Solved — [static ability]" means "As long as this Case is solved, [static ability]." Static abilities are written as statements, such as "Creatures you control get +1/+1" or "Instant and sorcery spells you cast cost {1} less to cast."
Cases don't lose their other abilities when they become solved.
Magic: The Gathering · ™ & © Wizards of the Coast · Illus. Edgar Sánchez Hidalgo
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