There is a family of expressions called oxymorons which contain contradicting meanings. What about expressions that add little meaning like "fatally injured"? What are these expressions called?
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These are known as tautologies or tautologous expressions.
Some examples from the Guardian Style Guide:
As a side note, tautologies are often found in place names, my favourite is The La Brea Tar Pits, meaning The The Tar Tar Pits.
I've found the word I was looking for. It's pleonasm:
Some better examples:
In the same genre there is also redundancies and tautologies.