Well, to be fair, you guys use compound words as well, but you're not as consistent with them as we are.
Butterfly, for instance, is a compound word, like the Danish translation, "sommerfugl". However, butterfly wings isn't compounded. Why not? The wings belong to the butterfly, so they should be butterflywings (sommerfuglevinger).
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Please "talk up" if your comprehension white-shifts. I will use simple-happy language-words to help you understand.