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Investment Properties and Properties Held for Sale - Additional Information (Detail) (USD $)
3 Months Ended
Mar. 31, 2015
State
Tenants
Property
Mar. 31, 2014
Long Lived Assets Held-for-sale [Line Items]    
Property leased to fully constructed fast-food restaurants 11us-gaap_NumberOfRealEstateProperties  
Location of properties 4us-gaap_NumberOfStatesInWhichEntityOperates  
Number of tenants 11zzdd_NumberOfTenantsOccupiedLeasedProperty  
Partnership recognized income from discontinued operations $ 0us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax $ 12,517us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax
Wendy's Restaurants [Member]    
Long Lived Assets Held-for-sale [Line Items]    
Property leased to fully constructed fast-food restaurants 9us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantBMember
 
Applebee's Restaurant [Member]    
Long Lived Assets Held-for-sale [Line Items]    
Property leased to fully constructed fast-food restaurants 1us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantCMember
 
KFC Restaurant [Member]    
Long Lived Assets Held-for-sale [Line Items]    
Property leased to fully constructed fast-food restaurants 1us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantDMember