An opposition-dominated

[sunrise111]

- Сдерживаемое оппозицией?

контекс не надо переводить:
A recent spate of corruption scandals has highlighted that more work is necessary to reduce the influence of money in politics. An opposition-dominated

[sunrise111]

или во власти оппозиции?

2. dominated by the oil majors - во власти нефтяных гигантов??

The structure of Norway's petroleum taxes tends to deter smaller oil companies and leave the sector dominated by the oil majors