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Armed officers were deployed after reports of a robbery by a man believed to have a blade on him.
Police were called to Barnes Close, Faversham, this afternoon after allegations a mobile phone had been stolen.
They were also told the suspect may be armed, so firearms officers were called in.
Police spokesman Martin Very said: "Kent Police was called at around 1.44pm today to a reported robbery in Barnes Close, Faversham.
"It was alleged a mobile phone was stolen and the suspect may have been in possession of a bladed weapon.
"Officers, including firearms officers, conducted inquiries in the Faversham area to locate the suspect and later arrested a local man on suspicion of robbery.
"He remains in police custody while the investigation continues."
Read more: All the latest news from Faversham