6 months time

As per the divorce procedure usually court 6 month saath rehne keliye toh kahengi na .ab Lakshmi ko uss Ghar me rehne keliye Neelam toh allow nahi karengi.But court bolegi toh Neelam and team kuch kar bhi nahi sakthi.kyaa iss liye lakshmi ne sign Kiya 

Yes, this was the only option for Lakshmi to come back to the Oberoi house so she signed the divorce papers and not on Malishka's talk whatever she told Laxmi that I and Rishi have crossed all limits in our relationship.