[1] Ajete was born on 31 July 1965 in San Juan in the Cuban province of Pinar del Río.

Ajete initially played center field but switched positions and played as pitcher in a youth province championship.

[3] Ajete, a left-handed starter, made his debut in the Cuban National Series in 1984 with the Pinar del Río team and compiled a career record of 179–96 over sixteen 90-game seasons in the National Series, from 1984 to 2001, winning four championships in 1985, 1988, 1997 and 1998.

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