They describe a leaderboard built from server members' shared gaming activity, while actual rollout remains unconfirmed.
When It Appears
“Played {firstGame} and {secondGame}” can appear on a server view that ranks shared gaming activity and shows a timed competition when Discord displays an activity sentence listing two recently played games.
What It Means
When “Played {firstGame} and {secondGame}” is shown, the current step is presenting an activity sentence listing two recently played games.
A user who saw “Played {firstGame} and {secondGame}” in Discord is likely searching to confirm that it means an activity sentence listing two recently played games, where it appears, and which state it describes.