Premise:
"and i believe in this but"
Hypothesis: Did you believe in it before?

it is not possible to tell

Premise:
"On photographic equipment, electronic goods, and watches, you avoid the luxury tax payable in your home country."
Hypothesis: Electronic goods sell better, proportionately, in Hong Kong in comparison to elsewhere, because people come there to buy their electronics.

it is not possible to tell

Premise:
"Is there an important headline that we've overlooked?"
Hypothesis: Have we overlooked an important?
yes