As an expert in linguistics and idiomatic expressions, I can explain that the phrase "the fat in the fire" is an idiom that originates from the idea of rendering fat over an open fire to make lard. When the fat is in the fire, it can cause spattering and a mess, leading to trouble or difficulty. In a figurative sense, it means that a situation has been made worse or more complicated, often due to someone's actions.
Here is the explanation with the key term in red:
"The phrase
the fat in the fire is used to describe a situation that has become problematic or difficult, typically as a result of someone's actions."
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