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Armed police were called after a woman was allegedly threatened with a gun.
A 52-year-old man from Tonbridge was arrested on suspicion of possessing a firearm with intent to cause fear following the incident.
It comes after officers were called to Park Avenue, Gillingham, at 3.20pm on Tuesday.
A 32-year-old woman from Chatham was also detained on suspicion of possessing cannabis.
Police spokesman James Walker said: "Officers attended the scene, including armed officers as a precaution.
"No firearms have been recovered and inquires are ongoing."
Both have since been released without charge.