进展 - jìnzhǎn - to make headway / to make progress
意味着 - yìwèizhe - to signify / to mean / to imply
品质 - pǐnzhì - quality
核 - hé - pit / stone / nucleus
选育 - xuǎnyù - seed selection / breeding
栽培 - zāipéi - to grow / to cultivate / to train / to educate
裂 - liè - to split / to crack / to break open / to rend
攻克 - gōngkè - to capture / to take / to overcome / to solve
收益 - shōuyì - earnings / profit
保障 - bǎozhàng - to ensure / to guarantee / to safeguard
种植 - zhòngzhí - to plant / to grow
亩 - mǔ - measure word for fields / unit of area equal to one fifteenth of a hectare
蒂 - dì - stem (of fruit)
防 - fáng - to protect / to defend / to guard against / to prevent
示范 - shìfàn - to demonstrate / to show how to do sth / demonstration / a model example
基地 - jīdì - base (of operations) / industrial or military base
丰收 - fēngshōu - bumper harvest
开裂 - kāiliè - to split open / to dehisce (of fruit or cotton bolls, to split open)
突破 - tūpò - to break through / to make a breakthrough
效益 - xiàoyì - benefit / effectiveness / efficiency
支撑 - zhīchēng - to prop up / to support / strut / brace
势必 - shìbì - to be bound to / undoubtedly will
扩增 - kuòzēng - amplification
可观 - kěguān - considerable / impressive / significant

长期以来... - Expressing "ever since a long time ago..." with "cháng​qī​yǐ​lái..."
由于这两大难题长期以来一直没有得到攻克，果农们的收益得不到保障，近年来已经很少有人种植了。

到目前为止… - Expressing "until now / so far…" with "dàomùqiánwéizhǐ…"
到目前为止，海南无核荔枝的种植面积仅剩7000多亩。

届时… - Expressing "when the time comes / at the scheduled time…" with "jiè​shí…"
消息表示，此次技术的突破，为提升无核荔枝的经济效益提供了科技支撑，海南无核荔枝种植面积势必将会扩增，届时，无核荔枝将为海南带来可观的经济价值。

光明日报 - Guāngmíng Rìbào - Guangming Daily / Enlightenment Daily (national Chinese-language daily newspaper)
中国热带农业科学院 - Zhōngguó Rèdài Nóngyè Kēxuéyuàn - Chinese Academy of Tropical Agricultural Sciences

功夫不负有心人 - gōngfubùfùyǒuxīnrén - where there's a will, there's a way / everything comes to him who waits