Do you mean keeping a bright polished finish rather than a good machined finish, ie one free of tool marks?
A problem and virtue of Aluminium is it reacts quickly with Oxygen in air. The reaction creates a thin surface oxide layer that stops further action, so the metal is self-protecting, which is good. Unfortunately the oxide layer is dull grey and tends to spoil the appearance. For decorative purposes Aluminium is often anodised, where a simple electrical process thickens the oxide layer and embeds coloured dye in it.
Hard to keep a mirror finish on Aluminium. As far as I know, it can only be done by immediately varnishing the polished metal with a clear lacquer. Or, in the case of mirrors, air is kept away from the shiny surface by the glass.
Dave