[mothered]

I'm so sorry to bother but I wanted to ask a question.

No problem whatsoever.

I received their last email saturday stating that the investigation required five to seven days.
I know this timeframe hasn't passed yet, but if they do not come back with an answer how long can i wait before contacting them?

If they don't reply precisely on the last day of the Investigation, In this case on the 7th day, contact them on that day.

And contacting them again just to hurry things up before their response could lead to a better outcome?

The amount of times you contact them, will not change the outcome - their decision Is purely based on their findings/assessment of the Investigation.

Sorry again for bothering and thank you so much for your help

No need to apologize, It's my pleasure to be of help.