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in the PONS Dictionary

im·pli·ca·tion [ˌɪmplɪˈkeɪʃən] N

1. implication (involvement):

implication
Verwicklung f <-, -en>

2. implication no pl (hinting at):

implication
Implikation f <-, -en> form
the implication is that ...
the implication is that ...
by implication
by implication

3. implication usu pl (effect):

implication
Auswirkung[en] f[pl]
implication
Folge[n] f[pl]
die Folgen pl für jdn/etw

4. implication MATH:

implication
Implikation f <-, -en>