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1) Health and cheerfulness mutually beget each other. 
2) Sadness and gladness succeed each other.
3) Riches and virtue do not often keep each other company.
4) The brothers resemble each other in taste.
5) Their views are at opposite extremes from each other.
6) We call each other by our first names here.
7) Dolphins use sound to communicate with each other.
8) We disputed with each other on various issues.
9) We will never in contact with each other.
10) We watched two apes grooming each other.
11) Let's keep in touch with each other.
12) Meet each other, don't waste this lifetime.
13) Unfortunately,(http://sentencedict.com/each other.html) there are but the two love each other.
14) Children tumble over each other in play.
15) They give each other piggy-back rides.
16) They have settled with each other.
17) Our tastes differ from each other.
18) They have little liking for each other.
19) The children were giggling and nudging each other.
20) The two students rivaled each other for the scholarship.
21) The mountaineers bartered between each other.
22) We were not permitted any contact with each other.
23) Science and technology are auxiliary to each other.
24) Women banded together to protect each other.
25) The cats watched each other, their tails twitching.
26) They were leaning forward, facing each other.
27) Friends do favors for each other.
28) The two trains hit each other end on.
29) The two countries were threatening to nuke each other.
30) We're always arguing with each other about money.
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