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merge selected features in qgis: some "borders" remain

i'm trying to understand (and solve) the following issue in qgis (2.16.3): i have a shapefile with hexagons which i want to merge. doing so works, but certain "borders" (not sure about the correct term, sorry) inside the polygon remain, and i cannot figure out how to remove them (see below).

thanks for any hints.

input:

enter image description here

output:

enter image description here