(a) Marriage is a personal relation arising out of a civil contract between a man and a woman, to which the consent of the parties capable of making that contract is necessary. Consent alone does not constitute marriage. Consent must be followed by the issuance of a license and solemnization as authorized by this division, except as provided by Section 425 and Part 4 (commencing with Section 500). (b) For purposes of this part, the document issued by the county clerk is a marriage license until it is registered with the county recorder, at which time the license becomes a marriage certificate.