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I don't hear key changes in trance very often, but they're pretty common in pop music. A common way to do this is to just jump up a half-step or whole-step, especially coming out of a bridge, or when you repeat a chorus/main theme, particularly at the end.
Another way is through the use of pivot chords - chords that the original key and the destination key have in common. For example, Cmaj and Dmaj both share the chords Emin and Gmaj - these are the iii and V chords in Cmaj, and the ii and IV chords in Dmaj. So, you can use those chords to bridge the transposition from Cmaj to Dmaj, which is especially useful if you use them to build up to an Amaj7 (i.e., the dominant chord in Dmaj), which then resolves to Dmaj (i.e., the new key). Hopefully that makes sense, but here's a basic example that starts in Cmaj and ends in Dmaj:
Cmaj | Fmaj | Cmaj | Gmaj | Emin | Amaj7 | Dmaj
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