Only those involved in the invasion know the plan.
Israel may be waiting until Hamas becomes very dehydrated as the water supply in the Gaza has been cut for 11 days. Previous reports claim the water was turned on in south Gaza near the Rafah crossing into Egypt in an effort to push the civilians away from the conflict area.
Israel may be waiting for aid from Biden which requires a Speaker of the House. Several actors involved are taking advantage of Biden's weakened state.
30 Americans have been killed in the attack by Hamas.
Are there only 'American' and 'Israeli' hostages? No reports of hostages from other countries.