If your question is as stated, then I believe same sex marriage can be legalized due to the strong belief in many that love in its purest form should not be bound to a specific sexual preference.
The omnipresent focus on ethical treatment further backs up this proposal, as so many campaigns have been conducted over the years supporting equality.
Many religious followers fail to accept same sex marriage on the basis that past scripture states homosexuality is a sinful act. This said, religion also states adultery is an act punishable to the same extent as homosexuality, however we seem to accept unfaithfulness within relationships in a much more lenient way compared to the marriage of two people who have a genuine love for each other.
In short; if A loves B then let them do whatever regardless of gender/sexual preference.
Same-sex marriage can be legalized because legislatures have the power to define the requirements for marriage and courts have the authority to rule that same-sex couples have a constitutional right to marry.
Same-sex marriage has not been legalized in Laos.
No countries in the Balkans have legalized same-sex marriage.
No country in Central America has legalized same-sex marriage.
No former Soviet republics have legalized same-sex marriage.
No predominantly Muslim countries have legalized same-sex marriage.
Same-sex marriage was legalized in North Carolina on October 9, 2014.
Same-sex marriage was legalized in British Columbia on July 8, 2003.
Same-sex marriage was legalized in the Canadian province of Saskatchewan on November 5, 2004.
As of December 20, 2013, about 33% of US states have legalized same-sex marriage.
Same-sex marriage was legalized in the Canadian province of Nova Scotia on September 24, 2004.
Same-sex marriage was legalized in the Canadian province of Newfoundland and Labrador on December 21, 2004.
Same-sex marriage was legalized in the Canadian province of New Brunswick on June 23, 2005.