* Inference: This is the most formal and accurate term. It means drawing conclusions based on evidence and reasoning, which is exactly what you do when you get clues from sentences.
* Deduction: This implies a more logical and systematic process of reasoning to arrive at a conclusion from the clues.
* Implication: This emphasizes the hidden or unspoken meaning that the sentences suggest.
* Subtext: Similar to implication, this refers to the underlying meaning or message that isn't explicitly stated.
* Hint: This is a more informal term for a clue, suggesting something that's not directly stated but implied.
The best word will depend on the context and the specific type of clue you are referring to.