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Dileep has been lodged in the Aluva sub-jail since July 10 for his involvement in the abduction and molestation case.
Kavya's "hurried" move comes at a time when speculation surfaced that she too might be arrested.
The prime accused in the case, Pulsar Suni, and his accomplice were arrested a week after the actress was abducted on February 17 on her way from Thrissur to Kochi and dumped outside director Lal's residence.
The police traced the conspiracy to Dileep and he was arrested.
Ahead of Dileep's arrest, the police probe team had also questioned Kavya and her mother.
For both Dileep and Kavya, this is their second marriage.
The actor was earlier married to actress Manju Warrier, while Kavya was married to a computer engineer.
Dileep and Kavya got married on November 25, 2016.