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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, 2020 | Sep. 30, 2019 | Sep. 30, 2020 | Sep. 30, 2019
Premiums written |  |  |  |
Direct | $ 138,208 | $ 108,478 | $ 463,462 | $ 318,984
Assumed | 1,004,850 | 752,590 | 4,407,189 | 3,583,287
Ceded | (243,647) | (156,938) | (1,520,629) | (1,246,145)
Net premiums written | 899,411 | 704,130 | 3,350,022 | 2,656,126
Premiums earned |  |  |  |
Direct | 128,621 | 103,446 | 401,177 | 283,898
Assumed | 1,301,871 | 1,146,831 | 3,732,961 | 3,114,408
Ceded | (430,309) | (343,529) | (1,210,761) | (1,030,028)
Net premiums earned | 1,000,183 | 906,748 | 2,923,377 | 2,368,278
Claims and claim expenses |  |  |  |
Gross claims and claim expenses incurred | 1,192,132 | 714,714 | 2,587,073 | 1,804,889
Claims and claim expenses recovered | (250,102) | (60,194) | (563,817) | (469,961)
Net claims and claim expenses incurred | $ 942,030 | $ 654,520 | $ 2,023,256 | $ 1,334,928

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