You can run LV EXEs (not the development environment) on CE if you buy the LV PDA module. Note that applications built using this lack features regular LV applications have.
I remember some threads dealing with the minimum necessary to run LV on linux. If I remember correctly, the basic idea is there are a few official linux versions supported and that anything outside those you will have to experiment on your own.
Here's one example. You can try looking for more.
If you want, official requirements can probably be found in the main LV linux page (whereever that is).
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