最近的研究表明，定期锻炼与改善心理健康之间存在明显联系。

Recent studies ___demonstrate a clear link between regular exercise and improved mental health.

我们实验的数据证明了这种新方法多么有效。

The data from our experiment ___demonstrate how effective the new method is.

大量科学研究已证明吸烟是有害的。

Numerous scientific studies have ___demonstrated that smoking is harmful.