(Vote Explanation) Morality is objective in the sense that, under strong conditions of ideal deliberation (where everyone affected is exposed to all relevant non-moral facts and can freely exchange reasons and arguments) we would often converge on the same basic moral conclusions. This kind of agreement under ideal conditions gives morality its objectivity, without needing to appeal to abstract and mind-independent moral facts. This constructivist position avoids the metaphysical and epistemological problems of robust moral realism, while still grounding moral claims in terms of justification.
(Vote Explanation) Morality is objective in the sense that, under strong conditions of ideal deliberation (where everyone affected is exposed to all relevant non-moral facts and can freely exchange reasons and arguments) we would often converge on the same basic moral conclusions. This kind of agreement under ideal conditions gives morality its objectivity, without needing to appeal to abstract and mind-independent moral facts. This constructivist position avoids the metaphysical and epistemological problems of robust moral realism, while still grounding moral claims in terms of justification.
(Although their views are not exactly the same, I take this view to be aligned with the metaethical views of philosophers Christine Korsgaard, Sharon Street, Philip Kitcher, and Jürgen Habermas. https://plato.stanford.edu/entries/constructivism-metaethics/ )