Question: With the ability to migrate questions, I have found quite a few duplicates on both SU and MSO due to questions being migrated from others sites.

Do we handle these as normal duplicates or should we just let them be?

Answer: 
I think this could be potentially refined into something like if you manage to get X amount of upvotes above the rep limit (say +10). 

I would call it Pro Bono, which is derived from the act of lawyers and other professionals taking on a case and not getting paid for it.
I like the concept. The situation happened to me several times, mostly before I got close to the daily cap and posted my final answer for the day. Next day I noticed I did not receive 180 rep from it - I felt cheated and discouraged.

There are one option which could set things strait again: ask for rep recalc and hope you won't loose rep due deleted questions. I guess I'll try it, just to see.

I suggest other names:

* Free advice - you did a good community job for free due The Cap.
* Out of business - you almost received rep from the community after you were out.
* Singularitee - your rep was absorbed by a wormhole