Joel D Block, a leading Psychologist at New York has differentiated between three kinds of relationships on the basis of assumed obligations.
“Going together implies s*xual exclusivity; living together adds to this an agreement to combine living routines and marriage the implication of permanence. Living arrangements are the midpoint between the least restrictive (going with someone) and the most complex (the marriage). The very nature of the closeness allows a couple to provide with feedback so that they may recognize and modify relationship-defeating behaviours. It contains an element of convenience.”
Hence "live-in" implies live - in / live - out at any time with wide open eyes and 82% of couples in live-in relationship donot end up marrying with their live-in partner at all at the end of such courtship. Also live-in lasts on an average 3 years in 92% cases. If she has chosen to 'live-out' from her past 'live-in" relationship then respecting her wishes, you should also move away instead of pocking sentimental / emotional mindset akin to Indian men’s’ obsessions.
There is no such Law of the Land to stop and or seek injunction against “engagement” moreover when male partner is approaching the Court ! You will end up burning your pockets. Also note Law since 2002 (ALD HC to SC journey is what I mean here as far as mention of live -in in court proceedings are concerned) have been interpreted in favor of women and club this to her current majority age status and further club this of her saying a BIG NO in public Court proceedings (if ever you ever succeed some case against her) that she does not want to go back to “live-in with you" being adult age person then what will be your face saving in public Court proceedings; NIL. There is also no such laws in India currently which says live-in is socially popular hence such and such Act / Code enacted by legislatures to protect either partners best interests.!!!