In a Relationship but No longer In Love with the Person

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I am told that any form relationship needs hard work and compromising to make it work and lasting. Sometimes I see it every so often that most couple loses that loving feeling after some time together and sadly eventually fell out of love or are no longer compatible. So in these sort of cases, what would be the right thing to do? Call it quits and allow each other to start over or toil on? Continue on is actually quite easy but how to handle the situation in the other direction?