There are 2 train companies operating 2 routes - RE25, RE1. The cheapest train costs $42 and is 3h 37min.
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There are 3 ways to travel from Wetzlar to Luxemburg City. 4 buses, 1 train and 1 by car are possible between the two areas. The by car from Wetzlar to Luxemburg City is the cheapest and fastest. The train operated by running from Wetzlar to Saarburg is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!