This type of argument actually is human driven view that has no actual Scriptural support.
Paul nor Christ allows for ANY grounds to "pursue another marriage" unless one of the partners is dead once the marriage is consummated.
But, most believers are too self absorbed and truly shallow to live out the Scriptures in these matters.
Question:
How is a believer's remarriage after a divorce to some one, not their original partner, not a violation of 1 Corinthians 13?
True love:
"Love is patient, love is kind and is not jealous; love does not brag and is not arrogant, does not act unbecomingly; it does not seek its own, is not provoked, does not take into account a wrong suffered, 6 does not rejoice in unrighteousness, but rejoices with the truth; bears all things, believes all things, hopes all things, endures all things.
Love never fails; ..."
This is why Paul remarks that the believer should not leave the unbelieving spouse, but if the unbelieving leaves the marriage the believer is not rebuke-able. They are to live out their love for the unbelieving partner in deed and example as the Holy Spirit will allow. That principal also applies to believer's who would leave a believing partner for another.
Such believers are NOT free to remarry, but stand in hope that the unbeliever or wayward believer will, through loves pure example and conduct, be drawn to Christ. Hence, Paul's statements following the remarks about the unbeliever leaving the marriage.
This is a hard teaching for those unable to bear the burden of betrayal. The lusts are often greatly clouding the judgement of better things.