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Reinsurance (Effect of Reinsurance and Retrocessional Activity on Premiums Written and Earned and on Net Claims and Claim Expenses) (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2021 | Sep. 30, 2020
Premiums written |  |  |  |
Direct | $ 255,148 | $ 138,208 | $ 739,999 | $ 463,462
Assumed | 1,519,032 | 1,004,850 | 5,780,781 | 4,407,189
Ceded | (287,740) | (243,647) | (1,697,965) | (1,520,629)
Net premiums written | 1,486,440 | 899,411 | 4,822,815 | 3,350,022
Premiums earned |  |  |  |
Direct | 216,658 | 128,621 | 567,161 | 401,177
Assumed | 1,798,229 | 1,301,871 | 4,669,877 | 3,732,961
Ceded | (508,622) | (430,309) | (1,384,147) | (1,210,761)
Net premiums earned | 1,506,265 | 1,000,183 | 3,852,891 | 2,923,377
Claims and claim expenses |  |  |  |
Gross claims and claim expenses incurred | 3,063,826 | 1,192,132 | 4,980,178 | 2,587,073
Claims and claim expenses recovered | (1,265,781) | (250,102) | (1,795,061) | (563,817)
Net claims and claim expenses incurred | $ 1,798,045 | $ 942,030 | $ 3,185,117 | $ 2,023,256

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