〜つつある
is in the process of (changing)
Verb ます-stem + つつある
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つつある describes a change that's under way and still progressing: 景気は回復しつつある, "the economy is recovering". It attaches to the ます-stem.
It's used with verbs of change (増える, 減る, 変わる, 広まる, 回復する), and it's typical of news, reports and formal writing. In speech, ている does the same job: 回復している.
The difference is focus. ている can describe a finished state (窓が開いている, "the window is open"); つつある only ever means "gradually becoming", so it's clearer for trends.
Compare 一方だ, which also describes a trend, but with the sense of "only ever going that way", often with a complaint.
Examples
景気は回復しつつある。
The economy is recovering.
地球の気温は上がりつつある。
Global temperatures are rising.
日本の人口は減りつつある。
Japan's population is shrinking.
町の様子は変わりつつあります。
The town is gradually changing.
新しい技術が広まりつつある。
New technology is spreading.