Any more and any longer are pretty much the same

and are always used in the end of the sentnce

fro example: Jane doesn't live here any more

or Jane doesn't live here any longer

But no longer is always used in the middle of the sentence

and it is used instead of axillary verb

fro example

Jane no longer lives here

So it just makes it easier to make this kind of construction

so this is pretty easy , right?

any more any longer - at the end of the sentence , no longer in the middle of the sentence

what about no more?

Jane lives here no more

We know, that it will be the correct way to put it in a sentence

because in english, you know, we cannot make double negatives

but it sounds weird

Lane lives here no more

The difference between all these words - in the way they sound in english lanuage

Any more is pretty fine. Jane doesn't live here any more

It's simple, understandable, sounding really good sentence

Jane no longer lives here - sounds formal

and serious and official

It's like some kind of authority is telling you that -

Jane no longer lives here

and the third one - Jane lives here no more

is copletely old-fashioned

You can here it in like, I don't know, Game of Thrones, for example

because it sounds very..... It doesn't sound modern

It's kind of a saying from calssic literature -

he loves me no more

Yeah - it just sounds really like , ugh, ok

So let's sum everything up

any more and any longer are used at the end of a sentence to say that something doesn't happen eny more

It has ended

and it sounds pretty simple and usual for everybody

Jane doesn't live here any more

no longer is used in the middle of a sentence for the same reson

but it sounds a bit more official

Jane no longer lives here

and no more ,which usually happens at the end of a sentence , is an old-fashioned way to say that smth has ended

jane lives here no more

and one last thing

anymore in one word is used in American English

In British English it's usually 2 words

That's it for today/I hope it was helpful and interesting

thank you for watching and I will see you in my next video

bye

sorry for not uploading fro last 2 weeks

It's been rough, and the next 2 weeks are going to be pretty rough too

so, wish me luck