There are 2 train companies operating 3 routes - ICE10, CFL-30-2, RE14. The cheapest train costs $81 and is 3h 22min.
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There are 4 ways to travel from DUS to LUX. 1 flight, 4 buses, 2 trains and 1 by car are possible between the two areas. The by car from DUS to LUX is the cheapest. The by car from DUS to LUX is the fastest. The train operated by running from Haan to Sandweiler 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!