The amateur's motivation
The amateur detective's motivation to investigate — rather than reporting what they know to the police and going home — must be strong enough to sustain the reader's belief for the length of the novel. Generic curiosity is not sufficient; the amateur who investigates because she is nosy produces a protagonist whose behavior is annoying rather than compelling. Strong motivations include: personal stake in the outcome (a friend or family member is the prime suspect), specific access that the police lack (she knows things about the victim that she believes are relevant but cannot convince the police matter), professional obligation (the amateur's specific expertise is relevant and she is the only one with it), or genuine threat (the amateur has been targeted and must investigate to protect herself).