This has probably been answered speculatively (if not definitively) but a search here didn't turn up anything.
I have always wondered why Dumbledore didn't have his broken nose "magic-ed" back into place. It is a nice character element with his half-moon spectacles, etc. but one wonders if it is intended to infer that he carried it as a mark of shame and responsibility over the death of his sister, his nose having been broken by his brother at their sister's funeral.
Is there anything more than speculation and inference on this small detail?