Hi @Lydia
Almost two years is a very long time to wait to have a permit renewed. Do you mean you have had no valid permit since it expired or you have been repeatedly given the temporary paper called ‘Fiktionsbescheinigung’ (usually for 6 months)? The Fiktionsbescheinigung extends the validity of your old permit.
I have looked at the website of the Ausländeramt in Aachen. There is an online portal where you can request an appointment with them. I just tried to get one for the category of extending a residence permit and it says that all appointments are taken. It says new appointments are regularly offered.
I recommend you try to use the booking systems at different days and times to find an appointment:
https://termine.staedteregion-aachen.de/auslaenderamt/
If you don’t find anything, you could book an appointment under the category of ‘Infostelle’. It is not the part of the office responsible for extending permits but it is a place to ask for more general information about immigration. But there are appointments available and it would at least give you the opportunity to go in there and explain your situation.
You can also call that Infostelle from Monday to Friday on this number: 0241 - 5198-5600
If you still don’t reach anyone, then you can ask one of the migrant advice service sin Aachen for assistance. There are a few of them in Aachen which you can search for here:
https://bamf-navi.bamf.de/en/Themen/Migrationsberatung/
Best,
Éanna