I am sorry to hear that you are in this difficult situation.
In Sask common law spouses have the same legal rights and obligations that legally married spouses have.
That means that you will share equally in the value of all assets acquired during the marriage, aside from gifts and inheritances, regardless of whose name is ***** ***** or who contribute to the assets value.
So it may be that when you add up all the assets and see what they are worth you may be able to keep the house because the other assets may be of equal value and so he would keep them.
But if not then he has to pay you for half of the value of all the assets as they are in his name, and he keeps them.
So this is complicated as you can see and there is no doubt that your best next step should be to consult with a family lawyer face to face.
Does that help as a starting point?
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