Naila Afsar's parents, Mohammed Khan, 55, and Shamim Akhtar, 56, brother Shamrez Khan, 32, and her sisters Saima Mahmood, 29, and Zahid Mahmood, 34, all deny charges of kidnap, false imprisonment and administering a drug.
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Greater Manchester Police said "inquiries are ongoing to fully understand the circumstances of the incident."
Business Secretary Greg Clark said talks with Peugeot's boss over a potential Vauxhall takeover were both "constructive and reassuring".