Sussex police officers are searching private land in the search for Laurel Aldridge.
The sister-in-law of The Office actor Mackenzie Crook was reported missing on February 14. Mr Crook said his family are "clutching at straws" after appearing on Good Morning Britain on Tuesday.
Despite this, he said the family are "determined and driven" to find Laurel. He added that he believes the disappearance could be linked to her ongoing chemotherapy treatment.
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Meanwhile, the force said it was continuing its search for Mrs Aldridge on private land after she disappeared from her home in Walberton, in the Arundel area of West Sussex. She was reportedly last seen at Slindon Cricket Club.
Two Sussex Police dog unit vehicles and another car with missing posters stuck to its rear windscreen were seen parked at the club. Police have searched a large part of a rural area, according to the force.
Chief Superintendent Howard Hodges said: “We would like to thank the public for the information which has been provided to us thus far. Our officers have been working around the clock pursuing multiple lines of enquiry and are determined to find Laurel.
“We are working closely with Laurel’s family, offering them support and providing them with regular updates on the investigation. They too have also appealed for information to help find her.”
During his appearance on GMB, Mr Crook said: "It's a week now, it was this time last Tuesday that she left the house with nothing but the clothes she was wearing, no keys, money, phone, and she's not been seen since."
He added: "She was diagnosed with cancer last year and she missed her fifth chemo session last Tuesday and we think that's what has triggered some sort of crisis in her and she's gone off for a long walk somewhere. We are really clutching at straws now after a week."
He continued: "At the moment everyone is containing their emotions, I'm sure the time will come for that later but right now everyone is very determined and driven. We've got a strong suspicion that she is in the local area but that's just a hunch we're going on.
"We can't imagine that she has gone very far afield."
Mrs Aldridge is described as being around 5ft 4in with grey/blonde highlighted hair and sometimes wears glasses. She was last seen wearing a turquoise fleece, a maroon tartan scarf and brown hat. She also had a grey puffer jacket with her which she is likely to have been wearing.
Drivers are asked to report to Sussex Police online or via 101 if there is someone who matches her description in their dashcam footage, especially if they have driven around the A27 or A29.
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