Will the Biden administration's final push for a ceasefire in Gaza succeed?

Efforts to end Israel's genocide in Gaza are picking up pace again, a month after being stalled. US National Security Adviser Jake Sullivan and Secretary of State Antony Blinken are both in the region to drive the negotiations. Qatar has resumed its mediation along with other stakeholders to try and halt Israeli bombardments and seek a deal on swapping captives and prisoners. What is behind this push for peace in the final days of the Biden administration? How have conditions changed to facilitate these discussions? And is a ceasefire and exchange of captives possible?