Cases from cite.case.law:

INTER AMERICAN COAL, S. A. v. SHE LLC,, 255 So. 3d 432 (Fla. App. Ct. 2018)

. . . See §§ 49.031 (sworn statement as a condition precedent for service by publication), 49.051 (sworn statement . . . addition to challenging the sworn statement's compliance with the requirements set forth in section 49.051 . . .

GREEN EMERALD HOMES, LLC, v. BANK OF NEW YORK MELLON, f k a, 204 So.3d 512 (Fla. Dist. Ct. App. 2016)

. . . Appellant has cited to the requirements for a diligent search and inquiry for a corporation in section 49.051 . . . See §§ 49.041, 49.051, 49.061, Fla. Stat. (2014). . . . For instance, under section 49.051, the sworn statement must state “that diligent search and inquiry . . . them so as to bind the said corporation; or (d) That their whereabouts are unknown to the affiant.' § 49.051 . . .

REDFIELD INVESTMENTS, A. V. V. a v. VILLAGE OF PINECREST, a, 990 So. 2d 1135 (Fla. Dist. Ct. App. 2008)

. . . Section 49.051, Florida Statutes (2006), contains explicit directions for service of process on a corporation . . . managers, cashiers, resident agents, and business agents of the corporation are unknown to affiant. § 49.051 . . . corporate defendant or “persons upon whom the service of process would bind the said corporation,” see § 49.051 . . . Not only does section 49.051 set forth explicit requirements to effectuate proper service of process . . .

PERPRO SYSTEMS INTERNATIONAL, INC. v. RICKBEIL, 668 So. 2d 319 (Fla. Dist. Ct. App. 1996)

. . . appellees’ affidavit of diligent search and inquiry and asserted that it did not comply with section 49.051 . . . Section 49.051 contains explicit directions for service of process by publication against a corporation . . . appellees’ affidavit for constructive service does not satisfy the mandatory requirements of section 49.051 . . . appellees made a diligent search and inquiry to determine whether any of the persons qualified by section 49.051 . . .

BATCHIN, v. BARNETT BANK OF SOUTHWEST FLORIDA, 647 So. 2d 211 (Fla. Dist. Ct. App. 1994)

. . . . §§ 49.041, 49.051, 49.061 and 49.071, Fla.Stat. (1991). . . .

SUNBLEST PRODUCTS, INC. v. VROOM ENTERPRISES, INC., 508 So. 2d 770 (Fla. Dist. Ct. App. 1987)

. . . state, an issue we need not decide here, the appellee did not comply with the requirements of section 49.051 . . .

COIN COPIES, INC. a v. FINANCIAL FEDERAL SAVINGS AND LOAN ASSOCIATION OF DADE COUNTY, a, 472 So. 2d 869 (Fla. Dist. Ct. App. 1985)

. . . non-final order denying its motion to quash the purported service by publication pursuant to section 49.051 . . .

COIN COPIES, INC. a v. FINANCIAL FEDERAL SAVINGS AND LOAN ASSOCIATION OF DADE COUNTY, a, 439 So. 2d 338 (Fla. Dist. Ct. App. 1983)

. . . non-final order denying its motion to quash service by publication made upon it pursuant to Section 49.051 . . .

ALAN RESTAURANT CORP. a d b a s v. WALDER, 399 So. 2d 1128 (Fla. Dist. Ct. App. 1981)

. . . an order allowing for service of process by publication against the Corporation pursuant to Section 49.051 . . .

DADE ERECTION SERVICE, INC. a v. SIMS CRANE SERVICE, INC. a, 379 So. 2d 423 (Fla. Dist. Ct. App. 1980)

. . . See § 49.051, and State ex rel. Woods-Young Co. v. Tedder, 103 Fla. 1083, 138 So. 643 (1932). . . . .