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Sentence-level contrast with the punctuation it requires.
Why you specifically
The rule
However and nevertheless are sentence-level connectors used to show contrast or unexpected result. They usually begin a new sentence or follow a semicolon, and they are typically followed by a comma. In formal writing, they do not join two full clauses with only a comma.
The trap
I was tired. However I finished the report.
I was tired. However, I finished the report.
However is a sentence-level connector here, so it normally starts a new sentence or clause and is followed by a comma. Without the comma, the sentence is not correctly punctuated.
The hotel was expensive. Nevertheless we stayed there.
The hotel was expensive. Nevertheless, we stayed there.
Nevertheless links two contrasting sentences and is usually followed by a comma. Writing it without the comma is incorrect in standard written English.
It was raining, however, we went out anyway.
It was raining; however, we went out anyway.
However can join two independent clauses after a semicolon. A comma alone is not enough to join these two full clauses.
The task was difficult. However, we gave up because it was possible.
The task was difficult. However, it was possible.
However does not mean 'because' or 'so'; it introduces contrast. Using it to show result or cause is wrong.
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