The expansions in "Settlers of Catan" can have a significant impact on the best strategy for playing the game. Each expansion changes the rules and adds new elements to the game, which can alter the best way to play. Some common expansions and how they affect strategy include:

* "Seafarers": Adds new islands and the ability to build ships, which changes the way players can expand their settlements and gather resources. Players may need to focus more on exploring the new islands and building ships to reach new resources. The settlements near the sea become more valuable. 
* "Cities & Knights": Introduces new mechanics such as city improvements and knights, which add new opportunities for players to earn points and defend against invaders. Players may need to focus more on improving their cities and using their knights to defend against invaders, rather than just expanding their settlements. Large cities become more valuable. 
* "Traders & Barbarians": Adds new terrain tiles, events, and scenarios, which can change the way players approach the game. Players may need to adapt to new events and scenarios, and consider the new terrain tiles when planning their strategy. The kind of tiles that are between the settlements become much more important, as this can affect the ease of defending the trade route.
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