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Threats/harassment may affect each person individually (based on their coping skills and what resolution if any had come about from this harassment)
One possible outcome for the person (although not necessarily long term/if they come to resolution whether internal i.e accepting that the other person is doing this maliciously but won't follow with the threat or externally- the police is involved) may be anxiety. The anxiety may occur when the phone rings in a possible anticipation that it will be the abuser on the other end or this underlying anxiety may also trigger disturbance in sleep due to the stress level of the one receiving the ph calls possibly escalating.