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Questions have been raised over whether both parties are serious about achieving a ceasefire in Iran.
The pause appears shaky - with Iran keeping the Strait of Hormuz closed in response to Israel's deadly attacks on Lebanon.
The US maintains the ceasefire never applied to Hezbollah.
Negotiations on a longer-term peace agreement are expected in Pakistan this week - attended by US Vice President JD Vance.
CBS Correspondent Linda Gradstein says there've been positive developments.
"Many are hoping, you know, the ceasefire kind of takes on a life of its own and it holds. And, that's what we've seen in Gaza, even though there is still fighting in Gaza."
LISTEN ABOVE
- Trump lashes out at Nato after meeting, Hezbollah fires rockets at Israel
- 'Entire country taken out': Trump threatens 'decimation' of Iran if peace deal not struck
- 'Eyes on key targets': Trump says US 'getting very close' to finishing war with Iran
- Iran deal a 'total and complete victory' for US, Trump tells AFP
- ‘Choose peace’: Pope marks first Easter under cloud of Mideast war
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