The true statements about direct democracy from the options provided are:
- It can happen at the state level.
- It can remove an elected official from office.
The following statements are not true regarding direct democracy:
- It can happen at the federal level. (Direct democracy typically occurs at state or local levels, not federally).
- It can only happen through the legislature. (Direct democracy allows for actions like referendums and initiatives that do not require legislative approval).
- It can happen without a vote of the people. (Direct democracy is defined by the involvement of the citizens voting).
Therefore, the first two responses are the accurately true statements about direct democracy.