They were admiring themselves.
- Ils s'admiraient eux-mêmes.
People are most angry when they feel they are being mocked. That's why those who are confident in themselves seldom become angry.
- Les gens sont les plus en colère lorsqu'ils se sentent moqués. C'est pourquoi ceux qui ont confiance en eux-mêmes se fâchent rarement.
(for emphasis): The children did this themselves.
(for emphasis): They are going to try climbing Mount Everest themselves.