In my experience you will find that if the anodizing has degraded no amount of low level cleaning or polishing will return them to anywhere near acceptable appearance without first removing the anodized surface layer. I believe this can be achieved with sodium hydroxide and the internet will no doubt provide suppliers and methods. But be warned

sodium - hydroxide caustic soda in the vernacular I believe, is an insidious hazard if used without extreme precautions.
In my early days I painfully lost several layers of fingerprints using a dilute solution which I only realized when the slippery slime appearing on my fingers turned out to be dissolved skin. And remember just polishing aluminium will involve regular re-polishing unless some kind of protective coating is applied.
If you embark on this please take extreme care with emphasis on safety glasses and
appropriate protective gloves

Well-timed silence hath more eloquence than speech.
"A quiet shy boy who took little part in games or sport"
88 High top 2.1 WBX