### Discussed in https://github.com/apache/airflow/discussions/33345

<div type='discussions-op-text'>

<sup>Originally posted by **vuphamcs** August 11, 2023</sup>
### Description

Is there a variable similar to `prev_start_date_success` but for the previous DAG run’s completion date? The value I’m hoping to retrieve to use within the next DAG run is `2023-08-10 16:04:30`

![image](https://github.com/apache/airflow/assets/1600760/9e2af349-4c3e-47e1-8a1a-9d8827b56f57)


### Use case/motivation

One particular use case is to help guarantee that the next DAG run only queries data that was inserted during the existing DAG run, and not the past DAG run.

```python
prev_ts = context['prev_end_date_success']

sql = f"SELECT * FROM results WHERE created_at > {context['prev_end_date_success']}"
```

### Related issues

_No response_

### Are you willing to submit a PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)
</div>
TR.dag_id == dag_id,
                or_(
                    and_(
                        TR.run_id == run_id,
                        or_(
                            and_(
                                TR.map_index == map_index,
                                or_(
                                    and_(TR.try_number == try_number, TR.task_id.in_(task_ids))
                                    for try_number, task_ids in task_tries.items()
                                ),
                            )
                            for map_index, task_tries in map_indexes.items()
                        ),
                    )
                    for run_id, map_indexes in run_ids.items()
                ),
            )
            for dag_id, run_ids in task_id_by_key.items()
        )
        delete_qry = TR.__table__.delete().where(conditions)
        session.execute(delete_qry)
    if job_ids:
        from airflow.jobs.job import Job
        session.execute(update(Job).where(Job.id.in_(job_ids)).values(state=JobState.RESTARTING))
    if activate_dag_runs is not None:
        warnings.warn(
            "`activate_dag_runs` parameter to clear_task_instances function is deprecated. "
            "Please use `dag_run_state`",
            RemovedInAirflow3Warning,