services rendered 提供的服务
It means services provided.
other interferences:
Austrian Cross for Services Rendered to Science and the Arts..
奥地利科学与艺术服务奉献十字奖章
eg:
We will pay all the specialists for their services rendered to us.
我方将支付所有专家为我方提供的服务费用.
family mythologies
Here mythologies means a body of stories about a person, institution, etc.
family mythologies means a body of stories about family.
or the similar expression is family legend.
You've rendered me a service.
你帮了我的忙.