When people “dissolve the political bands which have connected them with another,” they are no

Interpreting as: political
Input interpretation:
political (English word)

Definitions:
1 | adjective | involving or characteristic of politics or parties or politicians
2 | adjective | of or relating to your views about social relationships involving authority or power
3 | adjective | of or relating to the profession of governing

American pronunciation:
puhl'ituhkuhl (IPA: pəlˈɪtəkəl)

Hyphenation:
po-lit-i-cal (9 letters | 4 syllables)

Overall typical frequency:
written: 245th most common (1 in 3003 words) ( > 99% adjective)

spoken: 924th most common (1 in 14085 words)

The answer is athens and sparta.