Question about "TAX Filing" Me and my fiance own home, Who will file taxes?

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Can anyone tell me what to do about filing tax since we own home? Will it be better if my fiance file it or Myself file it? does it matter who earns less or more? I heard someone says' Whoever earn less is the one can file a tax interest for your home'. Is that true? We are not married yet and we both own this house. Legally who can file it? It really doesn't matter who files it, but I want to know the right ways? Please serious answers only!