Welcome to Wikivorce.
Of course you can be married, enjoy the
benefits that marriage brings
but live in separate house. Living separably doesn't mean the marriage is
any less valid.
The singer, Toyah and her (now ex) husband,
Robert Fripp lived separately for most of their long marriage - they
claimed having their own space kept the marriage fresh and the time they
spent together was more enjoyable for the long periods of being apart.
Making "blended" families work is hard going at times, but the key
is consistency and treating all children equally - and each parent being
able to spend some time with their own children alone. Its also about
finding what works for the family as a whole - each family is unique, so if
living in separate houses works for that family, then why not?